What is the solution for (dy)/(dt)+e^ty=24e^t ?

The solution for (dy)/(dt)+e^ty=24e^t is y=-e^{-e^t-c_{1}}+24

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(dy)/(dt)+e^ty=24e^t

\frac{d y}{d t} + e^{t} y = 24 e^{t}

y = - e^{- e^{t} - c_{1}} + 24

Solution steps

\frac{d y}{d t} + e^{t} y = 24 e^{t}

Solve separable ODE:

y = - e^{- e^{t} - c_{1}} + 24

y = - e^{- e^{t} - c_{1}} + 24

\frac{y d t}{d y} = t^{2} - 10 t + 21

\frac{d y}{d x} = \frac{y}{x ^{2} - 4}

\frac{d}{d x} (5 x^{2} - y^{3}) = \frac{d}{d x} (7)

\frac{d v}{d t} = 9.56 - 0.1 v

What is the solution for (dy)/(dt)+e^ty=24e^t ?
The solution for (dy)/(dt)+e^ty=24e^t is y=-e^{-e^t-c_{1}}+24