What is the solution for (dy}{dx}=\frac{x^7-8y)/x ?

The solution for (dy}{dx}=\frac{x^7-8y)/x is y=(x^7)/(15)+(c_{1})/(x^8)

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(dy}{dx}=\frac{x^7-8y)/x

\frac{d y}{d x} = \frac{x ^{7} - 8 y}{x}

y = \frac{x ^{7}}{15} + \frac{c _{1}}{x ^{8}}

Solution steps

\frac{d y}{d x} = \frac{x ^{7} - 8 y}{x}

Solve linear ODE:

y = \frac{x ^{7}}{15} + \frac{c _{1}}{x ^{8}}

y = \frac{x ^{7}}{15} + \frac{c _{1}}{x ^{8}}

\int_{0}^{1} e^{2 x} d x

2 x y d x - (1 + x^{2}) d y = 0

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\int \frac{1}{x ( x - 1 )} d x

y^{^{'}} - (cos (x)) y = \frac{e ^{s i n (x)}}{1 - x ^{2}}

What is the solution for (dy}{dx}=\frac{x^7-8y)/x ?
The solution for (dy}{dx}=\frac{x^7-8y)/x is y=(x^7)/(15)+(c_{1})/(x^8)