Please solve all of the questions, questions 1, 2, and 3. Please show all work and...

Please solve all of the questions, questions 1, 2, and 3. Please show all work and all steps.

1.) Find x(t) = Σ a_kt^k such that tx'' = x

2.) Find x(t) = Σ_k>=0 a_kt^k such that x'' = tx + 1 and x(0) = 0, x'(0) = 1

3.) Using the Frobenius method, solve t²x'' - 3tx' + (4-t)x = 0

Expert Solution

Colby Messinger answered 1 year ago

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