What is the solution for (dy)/(dt)+2ty=2te^{-t^2} ?

The solution for (dy)/(dt)+2ty=2te^{-t^2} is y=(t^2)/(e^{t^2)}+(c_{1})/(e^{t^2)}

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(dy)/(dt)+2ty=2te^{-t^2}

\frac{d y}{d t} + 2 t y = 2 t e^{- t^{2}}

y = \frac{t ^{2}}{e ^{t^{2}}} + \frac{c _{1}}{e ^{t^{2}}}

Solution steps

\frac{d y}{d t} + 2 t y = 2 t e^{- t^{2}}

Solve linear ODE:

y = \frac{t ^{2}}{e ^{t^{2}}} + \frac{c _{1}}{e ^{t^{2}}}

y = \frac{t ^{2}}{e ^{t^{2}}} + \frac{c _{1}}{e ^{t^{2}}}

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What is the solution for (dy)/(dt)+2ty=2te^{-t^2} ?
The solution for (dy)/(dt)+2ty=2te^{-t^2} is y=(t^2)/(e^{t^2)}+(c_{1})/(e^{t^2)}