Will someone give me explanation of this question below??

[tex]show \: that \: function \: y = ax+ {2a}^{2} \: is \: a \: solution \: of [/tex]
[tex]the \: differential \: equation[/tex]
[tex] 2( \frac{dy}{dx})^{2} + x ( \frac{dy}{dx} ) - y = 0 \\ [/tex]
Note: Don't spam and don't copy
Need answer with explanation
Don't answer if you don't know

Thank You!

Answers

Answer 1

If y = ax + 2a², then its derivative is dy/dx = a. Substitute y and dy/dx into the given equation and check if it results in an identity:

2 (dy/dx)² + x dy/dx - y = 0

2a² + ax - (ax + 2a²) = 0

0 = 0

This is of course true, so y = ax + 2a² is indeed a solution to the given equation.


Related Questions

PT. 3 OF MY HW IT IS UNIT RATE​

Answers

Answer: The rate of change decreased.

Step-by-step explanation:

i need help on this asap

Answers

Answer:

c

Step-by-step explanation:

Which expression is equivalent to the following complex fraction? 2 minus StartFraction 1 Over y EndFraction divided by 3 StartFraction 1 Over y EndFraction.

Answers

The equivalent fraction to the given complex fraction is  [tex]\frac{2y-1}{3y+1}[/tex].

Given expression,

[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} } } \\[/tex]

We have to find the equivalent fraction of    [tex]\frac{2-\frac{1}{y} }{3+\frac{1}{y} } } \\[/tex] .

On solving,

[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} } } =\dfrac{\frac{2y-1}{y} }{\frac{3y+1}{y} }[/tex]

Eliminating y from numerator and denominator we get,

[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} } } =\dfrac{2y-1} {3y+1} }[/tex]

Hence the required expression is    [tex]\frac{2y-1}{3y+1}[/tex].

For more details follow the link:

https://brainly.com/question/17912

Answer:

The answer is D :)

Step-by-step explanation:

2y-1/3y+1

Staci pays $32.70 for 5 cell phone cases. Each case costs the same amount. How much does eachcase cost?

Answers

Answer: Each phone case costs $6.54.

Explanation:

$32.70 ÷ 5 = cost per cell phone

$32.70 ÷ 5 = $6.54

can someone please help me with this

Answers

Answer:

cogratulation you're the best math

1/2 - (-1/3 + 2/5)
please help?

Answers

1/2-(-1/3+2/5)

= 1/2-(-0.33333333333333+2/5)

= 1/2-(-0.33333333333333+0.4)

= 1/2-(0.066666666666667)

= 1/2-0.066666666666667

= 0.5-0.066666666666667

= 0.43333333333333

Answer: 13/30 or 0.4333333333

Step-by-step explanation:

Just add and subtract them.

Correct me if I am incorrect.

Y+1=1/5(x-10)
Solve for y

Answers

Answer:

y = (x-10 / 5) - 1

Step-by-step explanation:

Hope this helps :)

Answer:

y=1/5x-3

Step-by-step explanation:

y+1=1/5(x-10)

y=-1 +1/5(x-10)

y= -1 +1/5x-2

y=1/5x-3

5/3 x 9/10 = Simplify using magic numbers such as 2,3,5,7

Answers

Answer:

45/30

Step-by-step explanation:

the mean of this data set: (5, 8, 1, 7, 4, 3, 2, 2)= 5

Answers

Step-by-step explanation:

4

Add all to get 32

Divide by the number of items which is 8

answer =4

Answer: No, the mean of the data set is 4

(5+ 8+ 1+ 7+ 4+ 3+ 2+ 2)/8

= 32/8

=4

HELP PLEASE!!! MARKING BRAINLIEST

Answers

Answer:

what you need to know is all lines equal up to 180

so basically it's 180 - 115

which is 65

comment down below if you need more explanation

Step-by-step explanation:

3. Solve each equality or inequality:
a. |8x-6|= 0

Answers

Answer:

x = 3/4

Step-by-step explanation:

Step 1: Find possibilities.

We know one possibility: 8x - 6 = 0. This is because 0 cannot be positive or negative.

Step 2: Solve possibility 1.

[tex]8x - 6 = 0[/tex] [tex]8x - 6 + 6 = 0 + 6[/tex] (Add 6 to both sides)[tex]8x = 6[/tex] [tex]\frac{8x}{8} =\frac{6}{8}[/tex] (Divide both sides by 8)[tex]x = \frac{3}{4}[/tex]

Therefore, x = 3/4.

Chance and Destiny went shopping at New Fashion Shop,
Everything in the store was at a 30% discount. Chanice
found a dress that was originally $65.00. What was the sale price?

Answers

$65 of 30% discount
$65-$19.50=$45.50
The sale price would be $45.50

Please help peeps
Thanks

Answers

Answer:

B) 6

Step-by-step explanation:

If this is similar triangles:

x:42=6:42

Well you could also just

bigger triangle is isosceles

so x=6

divide x² +x +1 by x+ 1 by long division method​

Answers

Answer:

I hope it will help you.

How do u Keep change change this number???

1.3 - -300=????

I don’t know what to do

Answers

1 .3 - -300
1.3 + 300
301.3

When Bill bought a marigold plant, it was 1 1/4
inch tall. After the first week, it measured 2 inches tall. After the second week, it was 2 3/4
inches. After week 3, it was 3 1/2 inches tall.

Answers

don't worry i help you now

Step-by-step explanation:  Let's come up with points that would be on the graph of a str. line:

(0, 1/4), (1, 1 1/12), (2, 1 11/12), (and so on).

Assume that this is a line, a str. line, and not a curve.  

The slope of this line is

       1 11/12 - 1 1/12

m = ------------------------ = 10/12, or 5/6.

              2 - 1

We now have the slope and y-intercept:  slope = m = 5/6; intercept = 1/4.

The line is then    y = (5/6)x + 1/4.

To answer this question, substitute 4 for x and calculate y:

  y = (5/6)(4) + 1/4 = 20/6 + 1/4   =  40/12 + 3/12   =   43/12 inches.

That's 3 7/12 inches.

i think that may help you  

Problem Solving
4. A school club sells 43 raffle tickets on Monday and
39 raffle tickets on Tuesday. How many more raffle
tickets did it sell on Monday than on Tuesday?

Answers

Answer:

They sold 4 more raffle tickets on monday than they did on tuesday.

Step-by-step explanation:

Answer: they sold 4 more raffle tickets on monday than tuesday.-

Step-by-step explanation:

Answer this pleaseeee <3 <3 <3 <3 <3 <3 <3

Answers

Answer:180%

Step-by-step explanation:

72/40 = 1.8

(1.8)(100)= 180

Answer:

Answer: 180%

Step-by-step explanation:

PLZ HELP
Use the distributive property to remove the parentheses.​

Answers

Answer:

I don't know if i did this correctly because i can't find my notes but i hoped i helped.

Step-by-step explanation:

7) There are 5 white balls, 8 red balls, 7 yellow balls and 4 green
balls in a container. A ball is chosen at random.
What is the probability of choosing red?

8)What is the probability of choosing green?

9) What is the probability of choosing either red or white?

10) What is the probability of choosing neither white nor green?

11) What is the probability of choosing other than yellow?

12) What is the probability of choosing black?

Answers

Answer:

7. 1/3

8. 1/6

9. 13/24

10. 5/8

11. 17/24

12. 0

Step-by-step explanation:

First find the total number balls by summing the indiviudal number of balls:

Total = 5 + 8  + 7  + 4 = 24

Then, the find any probability divide the number of ways your selected situation can happen from the total:

[tex]probability = \frac{number.of.possible.ways}{total.number.of.ways}[/tex]

A final step if you want is to reduce the fraction to its simplest value. For example,

[tex]\frac{2}{4} =\frac{1}{2}[/tex]

7) 8/24 = 1/3

8) 4/24 = 1/6

9) (8+5)/24 = 13/24

10) (24 - 5 -4)/24 = 15/24 = 5/8

11) (24 - 7)/24 = 17/24

12) (0)/24 = 0

---

Hey, hope this helped! If you want to say thank you, click the "Thanks" button and select the answer "The Brainliest!" - I appreciate it!

Write the quadratic equation whose roots are 1 and -2, and whose leading coefficient is 3.
(Use the letter x to represent the variable.)
I = 0
х
5
?
Save For Later
Su
Check
2021 Mc LLC All Rights Reserved tesof Use Peso
O

Answers

Answer:

See below

Step-by-step explanation:

The quadratic equation in factored form:

a(x - α)(x - β), where a- leading coefficient, α and β - roots

We have:

a = 3, α = 1, β = -2

Substitute them to get:

3(x - 1)(x + 2)

Converting this into standard form:

3(x - 1)(x + 2) =3(x² + x - 2) =3x² + 3x - 6

Paul left his house at 9:45 a.m. and returned home at 6:55 p.m. the same day. How long was Paul away from home?

Answers

Answer:

9 hours and 10 minutes

WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!

ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!

[please put in correct order]

Answers

I’m not 100% what kind of “order” it needs. But the picture the answer is D
I’m pretty sure that the answer is D

Find s(16) for the sequence s(n)=4n-2, ne {1, 2, 3, ... }.
A
64
B
60
66
D
62

Answers

Answer:

62

Step-by-step explanation:

Substitute n = 16 into the sequence rule

s(16) = 4(16) - 2 = 64 - 2 = 62

Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If possible, reduce the final sum.

Answers

Answer:

13/15

Step-by-step explanation:

15 is the least common denominator,

so 1/5 = 3/15

2/3 = 10/15

3/15 + 10/15 = 13/15

It can't be reduced.

Answer:

Step-by-step explanation:

The lowest common multiple of these 2 denominators is 3 * 5 since 3 and 5 are prime to each other. (They share no common factor.)

1/5 * 3/3 = 3/15

2/3 * 5/5 = 10/15

3/15 + 10/15 = 13 / 15

Use the Right Triangle Alt. Thm., Pythag. Thm. and/or Similar Triangles to solve.​

Answers

Answer:

Step-by-step explanation:

CAN SOMEONE FACTOR THIS PLEASE

125х^6 - 81

Answers

Answer:

0

Step-by-step explanation:

125×^6_81=0

×^6 we do not support this expression

ans = 0

I need some help with this.

Answers

I only solved #53 , it is inverse.

Is -4/19 equivalent to 4/-19

Answers

Answer:

Yes.

Step-by-step explanation:

Answer:

no.

Step-by-step explanation:

-4/19 is completely different to 4/-19.

Im not sure how to word it but they are two completely different numbers.

If you put $1000 in a savings account that yields an 7% annual rate of interest that is compounded weekly, how much would that be worth in 25 weeks

Answers

Answer:

A = $1034

Step-by-step explanation:

The relevant Amount function is A = P(1 + r/n)^(n*t), where r is the annual interest rate as a decimal fraction, n is the number of compounding periods per year, and t is the number of years.

There are 52 weeks in a year.  Hence, n = 52, and 25 weeks = 25/52 year, or 0.481 year.  

The accumulation (value of the savings) would be

A = ($1000)(1 + 0.07/52)^(52*[25/52]), or approximately

A = ($1000)(1.0013)^25, or approximately A = $1034

Other Questions
The Bill Of Rights was created to product us from the Government how does the first Amendment product out right? pleasee, i need the answer Each day, the Royal Chocolate Master puts all of the candies he makes in boxes with the same number of candies in each box. Today the Queen wants him to put 30 candies in each box, but the King wants 25 candies in each box. The Chocolate Master has already made 70 candies. What is the smallest number of candies he still needs to make so that all of the candies can be put into boxes with 30 or 25 candies in each? Which sentence contains hyperbole?O A. The rowdy waves tossed the boat around just for the fun of it.OB. A field of grass is a cloth that hides the secrets of the Earth.aC. Just because she can draw doesn't mean she's some Picasso.D. Dr. Martinez is by far the greatest principal who ever lived 1. Which figure comes next in the pattern below? 19. (04.02 MC)Read the sentences and match each room in the house to its correct sentence. (8 points)a Miro la televisin dentro de la casa en un sof cmodo.1. El patiob. Hay platos, tazas y vasos en la alacena2 El baoc. Me gusta cantar en la ducha en las malanas3. La salad. A Pilar le gusta leer en la tarde4 La cocina Complete the following sentences with the correct form of the verbs "to be" (ser / estar) and "to have" (tener) in Spanish (BEWARE OF ACCENT MARKS).1 Yo ________ en el saln de clase.2 Ella ________ enferma.3 Yo ________ estudiante.4 T ________ inteligente.5 Nosotros _________ sed.6 l ________ sueo.7 Ellos ______ miedo.8 Yo _________ once aos.9 Ellas _______ calor. Non examples of cell cycle Find the quotient.3/8 2/73/281 5/1616/211 3/28 Hi Emma, At school, you said that you don't have any plans for the weekend. Well, how about_............ meeting on Saturday morning? I thought maybe we could go ........ a bike to ride. We can go to Moreton-on-Sea, and get something....... eat. I went there by bike last year. In fact, there were six....... us, and we had....... really amazing day. I don't think it will take more for hours go get there and back. Can you let....... know if you can come? Hopefully, I'll see you then! Cheers, Joanna ToolScientists are searching for planets that orbit stars outside Earth's solar system by collecting data from different technology tools. A student lists a few tools and their cases that would provide clientswith information about these planets in a table, as shownUsespectroscopegathers information about theplanets in any weather conditionsspace probecollects data from the planets thatwould otherwise not be availableidentifies different elements presentreflector telescopearound the planetsradio telescope produces images of the planetsWhich tool is paired correctly with its intended use?space probeOpectroscoperadio telescopereflector telescope Who was the person(s) that helped communicate with the "Pilgrims?" Which of these is not a push factor for migration?Group of answer choicesviolencepolitical corruptiongender inequalityeducational opportunies HELP PLEASE!!! 50 POINTS INCORRECT ANSWERS WILL BE REPORTED. A person who studies and researches events, peoples, ideas, and issues in the past is known as. Ben made some apple pies. For every 4 cups of butter, he added 3 cups of water. The ratio of butter to water in Ben's apple pies is ____. (5 points)Question 1 options:1) 2) 3) 34) 4 Find the degree of the monomial. -20.5 HELP!!!Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.Match the multiplication expressions to the exponential expressions. I need help. I have to find X to solve the equation. PLEASE HELP I"LL GIVE BRAINLEAST Rico paid $180 sales tax on his new $2,400 motorcycle. What was the sales tax percentage rate where he bought his motorcycle?7.0% tax rate7.5% tax rate8% tax rate6.5% tax rate Hello peeps!SO....I was wondering if you guys felt comfortable on posting your art!Have fun guys! BYE BYE Oh also you can write your opinion too on peeps art!BYEEEEEEEEEEEEEE