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

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Basic Math

For the following find: (Show detailed working)

1) general solution of the associated homogns DE

2)  form of the particular solution associated withthe undetermined coefficients method. Do not evaluatecoefficients

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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