Question: Determine the particular solution for the nonhomogeneous, second-order, ordinary differential equation (y^{prime prime}+y^{prime}-2 y=4 sin 2 x) using the following methods: (a) undetermined coefficients, (b)

Determine the particular solution for the nonhomogeneous, second-order, ordinary differential equation $y^{\prime \prime}+y^{\prime}-2 y=4 \sin 2 x$ using the following methods:

(a) undetermined coefficients,

(b) variation of parameters,

(c) Fourier transforms.

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