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Popular >

(dy)/(dt)+e^ty=8e^t

Solution

\frac{d y}{d t} + e^{t} y = 8 e^{t}

Solution

y = - e^{- e^{t} - c_{1}} + 8

Solution steps

\frac{d y}{d t} + e^{t} y = 8 e^{t}

Solve separable ODE:

y = - e^{- e^{t} - c_{1}} + 8

y = - e^{- e^{t} - c_{1}} + 8

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Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)+e^ty=8e^t ?
The solution for (dy)/(dt)+e^ty=8e^t is y=-e^{-e^t-c_{1}}+8