y'' +9y = 4 csc (3x)

Q: 2x" 2x' 4x = 2e

A: Given differential equation 2x''−2x'−4x=2e3t.....1 Divide both sides by 2, we get x''−x'−2x=e3t Now,…

Q: 26. da (x² cos y+ sin 2y) =(ry) x(- sin y y') + (cos y)(2z) + cos 2y - 2y = x-y' +y·1 = %3D %3D dx…

A:

Q: '= -x+y - 8

A:

Q: y' = y2 - 4

A:

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: Solve the following differential equation by the laplace transform method 6y(4) + 7y" +21y" + 28y –…

A: Given equation is 6y''''+7y'''+21y''+28y'-12y=tcos2t+te-3t2 Apply Laplace transform on both sides…

Q: 3t 2x"-2x'-4x = 2e" 5.

A:

Q: y' = x - 4xy

A: We have to find solution of differential equation.

Q: "(x) = a".

A:

Q: y' = 3x2 - 12x - 79

A: Consider the provided derivative, y'=3x2-12x-79 Find the expression of yx. We can write as,…

Q: y = In( sech2x)

A: The objective of the question is to find the derivative of the function y = ln(sech^2(x)).

Q: Solve  y'' - 81y = 0

A: You can solve by finding auxiliary equation

Q: differentiate y = (x - 1)/(x + 1)

A: Given function: y=x-1x+1 Differentiate the above function w.r.t 'x' dydx=ddxx-1x+1

Q: Solve y'= 3y.x² 3 x³ + 2y4

A: This question can be solved using the concept of linear differential equation.

Q: Find y" 3x +4 y = 2x - 3 y" =D

A:

Q: Find y''. y'" y = x(3x+4)4 |||

A: Topic:- derivatives

Q: 12x5y'' + 8xy + 3y = 6x5 - x

A:

Q: y'=(2x+2y+1)/(x+y-1)  Solve the equation.?

A: Consider the given equation. y'=2x+2y+1x+y-1 Put v=x+y in the above function. dvdx=1+dydx

Q: 2. (81-x')

A: Consider the provided integral,∫x381-x22dx apply the trigonometric substitution,x=9sinθ then…

Q: solve     y'' - y' - 4y = e6x

A:

Q: y' = 2x + 14

A: