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

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

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(dy)/(dt)=-t/(e^{y+t^2)}

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

y = ln (\frac{1}{2} e^{- t^{2}} + c_{1})

Solution steps

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

Solve separable ODE:

y = ln (\frac{1}{2} e^{- t^{2}} + c_{1})

y = ln (\frac{1}{2} e^{- t^{2}} + c_{1})

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