What is the solution for (dy)/(dt)+e^ty=16e^t ?

The solution for (dy)/(dt)+e^ty=16e^t is y=-e^{-e^t-c_{1}}+16

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(dy)/(dt)+e^ty=16e^t

\frac{d y}{d t} + e^{t} y = 16 e^{t}

y = - e^{- e^{t} - c_{1}} + 16

Solution steps

\frac{d y}{d t} + e^{t} y = 16 e^{t}

Solve separable ODE:

y = - e^{- e^{t} - c_{1}} + 16

y = - e^{- e^{t} - c_{1}} + 16

1 \cdot x^{3}

\int 4^{e x} sin (2) (x) d x

y^{^{'}} = x^{2} \cdot y + y

x \to 3 lim (x^{2} + 2 x - 7)

f (x) = (x^{3} + 2) (3 x^{2} + 1)

What is the solution for (dy)/(dt)+e^ty=16e^t ?
The solution for (dy)/(dt)+e^ty=16e^t is y=-e^{-e^t-c_{1}}+16