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For the following find: (Show detailed working) 1) general solution of the associated homogns DE 2)  form...

For the following find: (Show detailed working)

1) general solution of the associated homogns DE

2)  form of the particular solution associated with the undetermined coefficients method. Do not evaluate coefficients

a) (d2 y / dx2) - dy/dx = x - 3

b) (d2 y / dx2) + 2 dy/dx + y = (1+x)e-x + x2

c) (d2 y / dx2) + y = sin(2x)

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