Find the solution of y'' + y' = cos(2x) + 9x

Find the solution of

y'' + y' = cos(2x) + 9x

Expert Solution

milcah answered 2 years ago

. If it has the following solution: y= c1 + c2 cos (2x) + c3 sin...

. If it has the following solution: y= c1 + c2 cos (2x) + c3 sin (2x) + c4 e3x Then:

Find the solution y'-e^(-2x)=0 , y(0) = 3.5

Find the general solution of: x' - 9x +8y = 0 y' -24x + 19y =...

Find the general solution of: x' - 9x +8y = 0 y' -24x + 19y = 0

y''+4y'+4y=2e^{-2x} Find general solution.

Find a particular solution of y'' + 2y' + y = e-x [ ( 5 −2x...

Find a particular solution of y'' + 2y' + y = e-x [ ( 5 −2x )cos(x) − ( 3 + 3x )sin(x) ] yp( x ) = ? Please show your work step by step. Thank you!

Let f(x, y, z) = 3x^(2)y + 4e^(2x+y) − 6 cos(xyz) (a) Find fx (b) Find...

Let f(x, y, z) = 3x^(2)y + 4e^(2x+y) − 6 cos(xyz) (a) Find fx (b) Find fy (c) Find fz (d) Find fxy (e) Find fyx (f) Find fxzx (g) Find fzzz

Find the solutions of y'' + 4y' + 3y = sen(x) + 3 cos(2x) + e˄(−x)+...

Find the solutions of y'' + 4y' + 3y = sen(x) + 3 cos(2x) + e˄(−x)+ 2 x˄2

1. Find the general solution to the following ODE: y′′′+ 4y′= sec(2x) 2. Find the solution...

1. Find the general solution to the following ODE: y′′′+ 4y′= sec(2x) 2. Find the solution to the following IVP: 2y′′+ 2y′−2y= 6x2−4x−1 y(0) = −32 y′(0) = 5 3. Verify that y1=x1/2ln(x) is a solution to 4x2y′′+y= 0, and use reduction of order to find a second solution y2. 4. Find the general solutions to the following ODEs: a) y′′′−y′= 0. b) y′′+ 2y′+y= 0. c) y′′−4y′+ 13y= 0.

x2 y" + (x2+x) y’ +(2x-1) y = 0, Find the general solution of y1 with...

x2 y" + (x2+x) y’ +(2x-1) y = 0, Find the general solution of y1 with r1 and calculate the coefficient up to c4 and also find the general expression of the recursion formula, (recursion formula for y1) Find the general solution of y2 based on theorem 4.3.1. (Hint, set d2 = 0)

Find the solution of the initial value problem: y'' + 4y' + 20y = -3sin(2x), y(0)...

Find the solution of the initial value problem: y'' + 4y' + 20y = -3sin(2x), y(0) = y'(0) = 0

Question