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Differential equations.

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Please see the attached file for the fully formatted problems.

1.
The roots of the auxiliary equation corresponding to a certain 12th order homogeneous linear equation with constant coefficients are:
2, 2, 2, 2, 2, 2, 1, 4, 3+4i, 3-4i, 2+5i, 2-5i
Write the general solution

2.
Find the general solution to y"- y= x^3 + 2x^2 - x + 5

3.
Solve y' = y*(x*y^3 -1)

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