Question

4. Find the general solution to the homogeneous equation, then use the method of undetermined coefficients to find the particular solution

*y’’*− 2*y*^{’} + 2*y* =
360*e*^{−t} sin3*t.*

Answer #1

Use the method of undetermined coefficients to find a general
solution to the given differential equation:
y''-y'-2y=4te3t+4sin2t

Use the undetermined coefficients method to find the particular
solution of the differential equation y'' + 3y' - 4y =
xe2x and then write the general solution.

Use the method of Undetermined Coefficients to find the general
solution
y'' - y' -2y = e^(2x)

Second-Order Linear Non-homogeneous with Constant Coefficients:
Find the general solution to the following differential equation,
using the Method of Undetermined Coefficients.
y''− 2y' + y = 4x + xe^x

4. Find a particular solution, and the general solution to the
associated homogeneous equation, of the following differential
equations:
a) y'-2y=6
b) y'+y=3e-t

Find the general solution of the equation using the method of
undetermined coefficients: y''-y'=5sin(2x)

Find the general solution of y'' − 2y' = sin(5x) using the
method of undetermined coefficients

find the general solution by undetermined coefficients method.
y′′-3y′+2y=-9x^2+6x

Use either the method of undetermined coefficients or
method of variation of parameters to find the general solution.
dx/dt = 3x - 2y + e^t
dy/dt = x

Non homogeneous eq w constant; undetermined coefficients
Find the general solution:
1) y" + 4y' + 4y = xe^−x.
2) y" + 2y' + 5y = e^2x cos x.
Determine a suitable form for a particular solution z = z(x) of
the given equations
1) y" + 2y' = 2x + x^2e^−3x + sin 2x.
2) y" − 5y' + 6y = 2e^2x cos x − 3xe^3x + 5.
3) y" + 5y' + 6y = 2e^2x cos x −...

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