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Popular >

(dy)/(dx)+e^xy=-9e^x

Solution

\frac{d y}{d x} + e^{x} y = - 9 e^{x}

Solution

y = e^{- e^{x} + c_{1}} - 9

Solution steps

\frac{d y}{d x} + e^{x} y = - 9 e^{x}

Solve separable ODE:

y = e^{- e^{x} + c_{1}} - 9

y = e^{- e^{x} + c_{1}} - 9

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x \to 0 lim (\frac{sin ( 20 x )}{x})

limit as x approaches 2+of-1/(x^2-4)

x \to 2 + lim (- \frac{1}{x ^{2} - 4})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)+e^xy=-9e^x ?
The solution for (dy)/(dx)+e^xy=-9e^x is y=e^{-e^x+c_{1}}-9