What is the solution for (dy}{dx}=\frac{x^6-6y)/x ?

The solution for (dy}{dx}=\frac{x^6-6y)/x is y=(x^6)/(12)+(c_{1})/(x^6)

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(dy}{dx}=\frac{x^6-6y)/x

\frac{d y}{d x} = \frac{x ^{6} - 6 y}{x}

y = \frac{x ^{6}}{12} + \frac{c _{1}}{x ^{6}}

Solution steps

\frac{d y}{d x} = \frac{x ^{6} - 6 y}{x}

Solve linear ODE:

y = \frac{x ^{6}}{12} + \frac{c _{1}}{x ^{6}}

y = \frac{x ^{6}}{12} + \frac{c _{1}}{x ^{6}}

\int \frac{( 2 x ^{2} - x + 3 )}{x} d x

\int_{0}^{1} x (x^{2} + 1)^{5} d x

\frac{d}{d x} ((\frac{x ^{2} + 2}{3})^{2})

y = 2 x^{3} - x^{2} + 3

\frac{d ^{2}}{d x ^{2}} (x^{2} + 4)

What is the solution for (dy}{dx}=\frac{x^6-6y)/x ?
The solution for (dy}{dx}=\frac{x^6-6y)/x is y=(x^6)/(12)+(c_{1})/(x^6)