Differential Equations and Variation of Parameters
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Solve t^2y''+ty'-y=2t^2 sin t t not equal to zero
Use method of variation of parameters
Solve ∫t^2 sin t dt= -t^2 cos t + 2t sin t +2 cos t
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Solution Summary
An ODE and an integral are solved. The solution is detailed and well presented.
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I assume we could use the integral you provided as is.
To solve
One must first solve the associated homogenous equation
This equation can be solved using a "guess":
Substituting ...
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