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Solve the following differential equation by variation of parameters. Fully evaluate all integrals. y′′+9y=sec(3x). a. Find...

Solve the following differential equation by variation of parameters. Fully evaluate all integrals.

y′′+9y=sec(3x).

a. Find the most general solution to the associated homogeneous differential equation. Use c1 and c2 in your answer to denote arbitrary constants, and enter them as c1 and c2.
b. Find a particular solution to the nonhomogeneous differential equation y′′+9y=sec(3x).

c. Find the most general solution to the original nonhomogeneous differential equation. Use c1 and c2 in your answer to denote arbitrary constants.

Math   Calculus   
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