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

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Advance Math

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

1.) Find x(t) = Σ aktk such that tx'' =x

2.) Find x(t) = Σk>=0 aktksuch that x'' = tx + 1 and x(0) = 0, x'(0) = 1

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

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