What is the solution for (dy)/(dt)+e^ty=-18e^t ?

The solution for (dy)/(dt)+e^ty=-18e^t is y=e^{-e^t+c_{1}}-18

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(dy)/(dt)+e^ty=-18e^t

\frac{d y}{d t} + e^{t} y = - 18 e^{t}

y = e^{- e^{t} + c_{1}} - 18

Solution steps

\frac{d y}{d t} + e^{t} y = - 18 e^{t}

Solve separable ODE:

y = e^{- e^{t} + c_{1}} - 18

y = e^{- e^{t} + c_{1}} - 18

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What is the solution for (dy)/(dt)+e^ty=-18e^t ?
The solution for (dy)/(dt)+e^ty=-18e^t is y=e^{-e^t+c_{1}}-18