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Consider a nonhomogeneous differential equation ?′′ − 3?′ + 2? = ?3? (a) Find any particular...

Consider a nonhomogeneous differential equation

?′′ − 3?′ + 2? = ?3?

(a) Find any particular solution ?? by using Lagrange’s method.

(b) Find the general solution.

(c) Find the particular solution if ?(0) = 1 2 and ?′(0) = 0.

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