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

The solution for (dy)/(dx)+8y=e^xy^{-8} is y=\sqrt[9]{(9e^{73x}+c_{1})/(73e^{72x)}}

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

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

y = 9 \frac{9 e ^{73 x} + c _{1}}{73 e ^{72 x}}

Solution steps

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

Solve Bernoulli ODE:

y = 9 \frac{9 e ^{73 x} + c _{1}}{73 e ^{72 x}}

y = 9 \frac{9 e ^{73 x} + c _{1}}{73 e ^{72 x}}

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What is the solution for (dy)/(dx)+8y=e^xy^{-8} ?
The solution for (dy)/(dx)+8y=e^xy^{-8} is y=\sqrt[9]{(9e^{73x}+c_{1})/(73e^{72x)}}