Consider the IVP t2y''−(t2 + 2)y' + (t + 2)y = t3 with y(1) = 0...

Consider the IVP t²y''−(t² + 2)y' + (t + 2)y = t³ with y(1) = 0 and y'(1) = 0.

• One function in the fundamental set of solutions is y₁(t) = t. Find the second function y₂(t) by setting y₂(t) = w(t)y₁(t) for w(t) to be determined.

• Find the solution of the IVP

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Expert Solution

I think your question might be wrong printed. Because y1(t)=t is not satisfied the homogeneous part of your differential equation. I corrected your differential equation. If I am correct please like my answer.

Colby Messinger answered 1 year ago

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