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Popular >

(dy)/(dt)+e^ty=-5e^t

Solution

\frac{d y}{d t} + e^{t} y = - 5 e^{t}

Solution

y = e^{- e^{t} + c_{1}} - 5

Solution steps

\frac{d y}{d t} + e^{t} y = - 5 e^{t}

Solve separable ODE:

y = e^{- e^{t} + c_{1}} - 5

y = e^{- e^{t} + c_{1}} - 5

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)+e^ty=-5e^t ?
The solution for (dy)/(dt)+e^ty=-5e^t is y=e^{-e^t+c_{1}}-5