For each problem (A and B), - Seek power series solutions of the given differential equation...

For each problem (A and B),

- Seek power series solutions of the given differential equation about the given point x₀ and find the recurrence relation.

- Find the first four terms in each of two solutions y₁ and y₂ (unless the series terminates sooner).

- By evaluating the Wronskian W(y₁, y₂)(x₀), show that y₁ and y₂ form a fundamental set of solutions.

- If possible, find the general term in each solution.

A) (1 - x)y" + y = 0; x₀ = 0

B) xy" + y' + xy = 0; x₀ = 1

Expert Solution

Colby Messinger answered 2 years ago

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For each problem (A and B), - Seek power series solutions of the given differential equation...

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