What is the solution for (dy)/(dx)+2y=e^xy^{-8} ?

The solution for (dy)/(dx)+2y=e^xy^{-8} is y=\sqrt[9]{(9e^{19x}+c_{1})/(19e^{18x)}}

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(dy)/(dx)+2y=e^xy^{-8}

\frac{d y}{d x} + 2 y = e^{x} y^{- 8}

y = 9 \frac{9 e ^{19 x} + c _{1}}{19 e ^{18 x}}

Solution steps

\frac{d y}{d x} + 2 y = e^{x} y^{- 8}

Solve Bernoulli ODE:

y = 9 \frac{9 e ^{19 x} + c _{1}}{19 e ^{18 x}}

y = 9 \frac{9 e ^{19 x} + c _{1}}{19 e ^{18 x}}

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What is the solution for (dy)/(dx)+2y=e^xy^{-8} ?
The solution for (dy)/(dx)+2y=e^xy^{-8} is y=\sqrt[9]{(9e^{19x}+c_{1})/(19e^{18x)}}