What is the solution for (dy)/(dt)+e^ty=23e^t ?

The solution for (dy)/(dt)+e^ty=23e^t is y=-e^{-e^t-c_{1}}+23

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(dy)/(dt)+e^ty=23e^t

\frac{d y}{d t} + e^{t} y = 23 e^{t}

y = - e^{- e^{t} - c_{1}} + 23

Solution steps

\frac{d y}{d t} + e^{t} y = 23 e^{t}

Solve separable ODE:

y = - e^{- e^{t} - c_{1}} + 23

y = - e^{- e^{t} - c_{1}} + 23

\int \frac{ln ( x ^{25} )}{x} d x

\frac{\partial}{\partial y} (x^{5} + 2^{y} + x^{y})

\frac{d y}{d x} = 2 x (1 + y^{2})

x \to 2 - lim (x + 2)

\frac{d}{d x} (ln (x + 1) - \frac{1}{x + 1})

What is the solution for (dy)/(dt)+e^ty=23e^t ?
The solution for (dy)/(dt)+e^ty=23e^t is y=-e^{-e^t-c_{1}}+23