dy 2 y = x3 – 6x3 бх3 — 5; - | dx5

Q: d²y 5. If y = 4sinx + x²cosx + 4x then find dx2

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Q: If x²y + 3y* = xtan(y) + 2x d²y Find the value of dx²"

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Q: d'y d²y dx2 dy 18y = 0 dx 2 +9+ dx3

A: We have to solve given problem:

Q: d²y Find dx2 , if y vx-x Jy = 9

A:

Q: (b) Find d'y dx² where x + 2y = 1.

A: In this question, we want to differentiate the given expression two times.

Q: Find of y3 = x* + 3x d?y dx2

A: giveny3=x4+3xdiffrentiate with respect to x3y2y'=4x3+3y'=4x3+33y2

Q: dy Find if y 3e2 3z 一山 %3D O -9e 2

A: Using chain rule of differentiation.

Q: If y = (x² + 7)°, find d²y dx

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Q: d²y Find dx2 1 y = ,2

A: Consider the given equation is, y=1x2 Differentiate as, y=x-2dydx=-2x-2-1dydx=-2x-3dydx=-2x-3

Q: If x1/3 + y1/3 = 4, find d2y/dx2 at the point (8, 8).

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Q: dy If y = (9x2 – 6x +2)e3* find then choose the correct answer: dx %3D

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Q: Q2\ find when y = dx x²-1

A: y=xx2-1⇒y=x12x2-1⇒y=x1212x2-1⇒y=x14x2-1

Q: d*y 4. Find dx 1 if y=x' + 5 +13 2x? 3x 5

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Q: dy ·Given y = 2u² and u = 8x- 1, then dx

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Q: dy + (1x – 7)y = 2x7 dx

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Q: dx -x = 2y², dy y(1) = 5

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Q: dy If y = esr+11 then- dx 8e8x+11

A: If function is efx,  then its derivative is f'x efx

Q: Find dx2 d²y if x = 3cos4t and y = 6sin4t. %D

A: Eliminate the variable t and form a equation in x and y only than take two times derivative.

Q: d3y find 3 5) If y = 4x + z %3D dx3

A: Given that: y=4x3+3x2

Q: dy Find if dx 4. y = (x² – 3)*(3æ (За — 3)°

A: It is given that, the function y=x2-343x-36.

Q: Q.2 JJR ex2-2 dxdy, where R between x2 =-y, y = 0 and x = -3 , y = -9

A:

Q: dy Q. 8 Find 2 -: if Y dx 6x4+1 -48x3 (6x4+1)² .4 -48x (6x4+1)? -84x3 (6x4+1)? None

A: Given that  y=26x4+1

Q: If x²y + 3y* = xtan(y) + 2x d²y Find the value of dx²'

A:

Q: d'y d²y dy dx3 -2 dx2 +9. - 18y = 0 dx

A: Given equation is d3ydx3-2d2ydx2+9dydx-18y=0Here we have a linear differential equation which…

Q: d’y dx² 5 + 6y = 3x+3 dx

A:

Q: dy A4. If x = 3t2, y = t³ then dx

A: Given that x=3t2,y=t3 find dydx

Q: r4 1- So ey/Vx dy dx 2.

A: Explanation of the answer is as follows

Q: x² – 4y² dy 29, dx - 2хy ||

A:

Q: Find d2y/dx2 implicitly in terms of x and y. x2y − 3x = 8   d2y/dx2 =

A: Consider the given function, x2y-3x=8 use implicit differentiation method and differentiate with…

Q: If y = 2x² then dy dx 11

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Q: Q2: Find for y= (4x² +12)²(3x-20)² dx

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Q: dy 4x2 + x dx y + 4

A: Given : dydx = 4x2+xy+4

Q: d²y if 2x2 + 5y² = 9. Find %3D dx2 Provide your answer below: -口 dy dx2

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Q: 22 d'y dx² dy 7x- +16y=0 dx

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Q: 2. (D2 + 3D)y = -18x: v = 0. Dy = 5 when x = 0

A: Given differential equation is  D2+3Dy=-18x  and the given conditions are y=0, Dy=5 when x=0 find…

Q: dy If dx and y = 14 when x = 1, find y(2). 3x-2 27

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Q: d²y 7. Solve the equation dx2 dy 4 8e4x 10. %3D dx

A: Use auxiliary equation to find zeros and find complementary function CF. Find Particular integral PI…

Q: dy Q5/ a) Find 2 if y = esin (2x) dx

A:

Q: Find  d2y dx2  in terms of x and y. x2y2 − 2x = 7 d2y dx2 =

A: Given The equation is x2y2 − 2x = 7

Q: d²y 10 + 9y = 5t, y(0 dx

A: Laplace solution: d2ydx2-10dydx+9y=5ty(0)=-1, y'(0)=2Taking Laplace on both sides we…

Q: dy Q 3-Find t=3 if y+ 4x2 = 7, x+ %3D

A:

Q: d-y if x = t – t² and y = t -t3 dx2 1. Find

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: dy Calculate dx2 2 y =

A: To calculate d^2y/dx^2

Q: d²y x+2 for y=- X-3 8. Find dx2

A: Differentiate with respect to x.

Q: d³y Find dx3 where y = e*(8x + 1)

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Q: dy If y = e4a+19 then dx

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Q: dy 7x+4 Find if y= dx 4 28x

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Q: d²y If y = x Inx , find dx²

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Q: dy Y if 2x3 +5y® = 251 Find dx

A: From the given problem:   2x3+5y6=251   Now we can write as:   fx=2x3+5y6-251   From the implicit…