Can anyone check my work? 1st Order ODE Initial Value Problem

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MustangGt94
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Homework Statement



dy/dt + ty/(1+t^2) = t/(1+t^2)^1/2 y(1) = 2

Need to solve this initial value problem. The equation is a 1st order ODE

Homework Equations





The Attempt at a Solution



I've attached my solution to the problem. Just wondering if anyone can check my work. I solved the problem using the Integrating factor method u(t).

Thank You!
 
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