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Find the unique solution satisfying initial conditions y(1)=0 and y'(1)=1 for

ty''-(t+2)y'=2y=0, t not equal to 0

Solve t^2y''+3ty'+5y=0

Solve the initial value problem.

y''-2y'+y=2e^t+3

y(0)=4 and y'(0)=3

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