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Solve the following initial value problem ?′′ + 3??′ + 2? = 0, ?(0) = 1...

Solve the following initial value problem

?′′ + 3??′ + 2? = 0, ?(0) = 1 and ?′(0) = 1

by using a power series ?0 + ?1? + ?2?2 + ?3?3 + ?4?4.

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