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  3. consider the ivp t2y''?(t2 + 2)y' + (t + 2)y = t3

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

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Advance Math

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 isy1(t) = t. Find the second function y2(t) bysetting y2(t) = w(t)y1(t) for w(t) to bedetermined.

• Find the solution of the IVP

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