Question

use variation of parameters to find a particular solution

y'' + y' +12y = xe^{2x}

y_{1} =
e^{3x}

y_{2} =
e^{-2x}

Answer #1

Use variation of parameters to find a general solution to the
differential equation given that the functions y1 and y2 are
linearly independent solutions to the corresponding homogeneous
equation for t>0.
y1=et y2=t+1
ty''-(t+1)y'+y=2t2

Use variation of parameters to find a general solution to the
differential equation given that the functions y 1 and y 2 are
linearly independent solutions to the corresponding homogeneous
equation for t>0.
ty"-(t+1)y'+y=30t^2 ; y1=e^t , y2=t+1
The general solution is y(t)= ?

Use variation of parameters to find a particular solution
xp.
x'' + 2x' + x = 6e−t, x1(t) =
e−t, x2(t) = te−t
xp(t) = ________________

Find a particular solution for the differential equation by
variation of parameters.
y''- y' -2y = e^3x , y(0) = -3/4 , y'(0)=15/4

Use the method of variation of parameters to find a particular
solution of the differential equation y′′−8y′+15y=32et.

use variation of parameters to determine a particular solution
to the given equation y'''-3y''+3y'-y=e^x

Find only the particular solution of the given differential
equation by using variation of parameters and Wronskians.
y ' ' - y = csc x cot x

Use the method of variation parameters to find the
general solution of the differential equation
y'' +16y = csc 4x

Use variation of parameters to find the general solution to:
t2 y''(t) + 3t y'(t) - 3 y(t) = 1 / t

use method of variation of parameters to find general solution
to the following equation y^2+y=cost

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