The trial solution for the non-homogeneous equation d²y +3. dx? dy – 4y = (x³ + x)e* is %3D dx

Q: |(9x - 5) dx, given the following. Calculate 2 X-dx 3 19 dx = 3 %3D xdx =

A: Property of Definite integration: If the upper and lower limits are the same then the integral is…

Q: (3y? + 2)2 = 1 and y(-1) = 1 What is x when y = 2? %3D dx

A: solve the differential equation by separating the variable and integrate it.

Q: Find the general solution of dy dr - 2 y + 1 x+y-2

A:

Q: 12. dx = A 1-e B -1-e' 1+e D -I+e'

A: We will integrate this with respect to x.  And we will find the value of integration.

Q: Compute if df = 2 and dx du dx = 6.

A: It is given that,

Q: Find dy/dx If y ex A 2/א"e ],/איe D-2V B.

A: We have to find dy/dx.

Q: 17 (xr² + 3xy) dx - dy = 0

A: We can solve it by seperation method

Q: d Find dx 0.4 - 2 - 3.7x + 8x d 0.4 - 3.7x - 2 + 8x = dx

A: SOLUTION-

Q: Find d2y/dx2 for the equation x=x3y2-3y3

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Q: Find dy/dx. y = __2x + 3)3__ (4x 2 − 1)8

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Q: dy 4x 29. dx 4x + %3D V16 - x2

A:

Q: 1. Separating the variables dy 1 x(y- 3) =D4y dx %3D

A: In the separation of variables method of solving the differential equation, the different variables…

Q: Find dy when x=3 and dx = 0.2. y=x-5x³ +3x² + 2x-7

A:

Q: y³ + x = x³ + xy. What are the values of dy/dx where y = 0.

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Q: Find the dx/dy of 2x² + 4y² = 4.

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Q: = -secu a

A: Given : y=f(u)=-secu and u =g(x)=x2+7xwe have to find d2ydx2

Q: (x – 2y)dx – (2x + 5y)dy = 0

A:

Q: Find the values of d/dx (11) and d/dx(π)

A: Consider the provided information, ddx11   and   ddxπ. Find the values of the derivative. The…

Q: . Find the general solution of dy d.x = 2 y + 1 x+y-2 2

A: Given differential equation isdy/dx = 2 ((y+1)/(x+y-2))2

Q: D.E Poll owing (1+y)dx= (bany -x) dy Solve the %3D

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Q: dy 1 3x2 In(x) + x³ • %3D dx

A: Given:

Q: ôf What is for the same function f = x*y+3y'z² ? ду X,Z

A:

Q: Solve x(dy/dx) - 4x2y + 2ylny = 0

A: