Solving dy/dt + ty/(1+t²) = t/(1+t²)^(1/2) with y(1)=2

[MustangGt94]

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!

 

[jeffreydk]

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