Question

Look this DE: d2 y(x) / d x2 + 8(d y(x) / d x)+2y(x) = x...

Look this DE:

d2 y(x) / d x2 + 8(d y(x) / d x)+2y(x) = x * sin2(x)

A particular solution to the de is (((65x - 284) cos(2x)) / 16900) + (((-520x + 62) sin(2x)) / 16900) + (x/4) - 1

(a) Give the general solution to the DE. Please show work and / or give reasoning

(b) Obtain another particular solution

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