What is the solution for (dy)/(dx)+8y=e^xy^{-6} ?

The solution for (dy)/(dx)+8y=e^xy^{-6} is y=\sqrt[7]{(7e^{57x}+c_{1})/(57e^{56x)}}

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(dy)/(dx)+8y=e^xy^{-6}

\frac{d y}{d x} + 8 y = e^{x} y^{- 6}

y = 7 \frac{7 e ^{57 x} + c _{1}}{57 e ^{56 x}}

Solution steps

\frac{d y}{d x} + 8 y = e^{x} y^{- 6}

Solve Bernoulli ODE:

y = 7 \frac{7 e ^{57 x} + c _{1}}{57 e ^{56 x}}

y = 7 \frac{7 e ^{57 x} + c _{1}}{57 e ^{56 x}}

\frac{2 x d y}{d x} + y = 6 x

\frac{d}{d x} (4 x^{3} - 16 x + 5)

\int \frac{1}{1 + x ^{2} + y ^{2}} d y

y^{^{''}} + 16 y = 2 sin (4 t)

x \to - 3 lim (- 2)

What is the solution for (dy)/(dx)+8y=e^xy^{-6} ?
The solution for (dy)/(dx)+8y=e^xy^{-6} is y=\sqrt[7]{(7e^{57x}+c_{1})/(57e^{56x)}}