What is the solution for (dy)/(dt)+e^ty=13e^t ?

The solution for (dy)/(dt)+e^ty=13e^t is y=-e^{-e^t-c_{1}}+13

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(dy)/(dt)+e^ty=13e^t

\frac{d y}{d t} + e^{t} y = 13 e^{t}

y = - e^{- e^{t} - c_{1}} + 13

Solution steps

\frac{d y}{d t} + e^{t} y = 13 e^{t}

Solve separable ODE:

y = - e^{- e^{t} - c_{1}} + 13

y = - e^{- e^{t} - c_{1}} + 13

\frac{1}{4 + x ^{2}}, 0

\frac{d}{d x} (x^{3} - 4 x + 6)

\int x arctan (5 x) d x

f (x) = 7 x sin (x)

y^{^{''}} - y^{^{'}} - 6 y = e^{- x}

What is the solution for (dy)/(dt)+e^ty=13e^t ?
The solution for (dy)/(dt)+e^ty=13e^t is y=-e^{-e^t-c_{1}}+13