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Solve the following second order differential equations: (a) Find the general solution of y'' − 2y'...

Solve the following second order differential equations:

(a) Find the general solution of y'' − 2y' = sin(3x) using the method of undetermined coefficients.

(b) Find the general solution of y'' − 2y'− 3y = te^−t using the method of variation of parameters.

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