What is the solution for (dy}{dx}=\frac{x^6-4y)/x ?

The solution for (dy}{dx}=\frac{x^6-4y)/x is y=(x^6)/(10)+(c_{1})/(x^4)

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(dy}{dx}=\frac{x^6-4y)/x

\frac{d y}{d x} = \frac{x ^{6} - 4 y}{x}

y = \frac{x ^{6}}{10} + \frac{c _{1}}{x ^{4}}

Solution steps

\frac{d y}{d x} = \frac{x ^{6} - 4 y}{x}

Solve linear ODE:

y = \frac{x ^{6}}{10} + \frac{c _{1}}{x ^{4}}

y = \frac{x ^{6}}{10} + \frac{c _{1}}{x ^{4}}

\frac{d y}{d x} = 2 x (x - 2)

\frac{\partial}{\partial x} (\frac{1}{1 + e ^{- w^{T} x}})

\frac{d}{d x} (\frac{2 x}{sec ( x )})

\frac{d}{d x} (A e^{x} + B x e^{x})

x \to - 3 + lim (x + 1)

What is the solution for (dy}{dx}=\frac{x^6-4y)/x ?
The solution for (dy}{dx}=\frac{x^6-4y)/x is y=(x^6)/(10)+(c_{1})/(x^4)