What is the solution for (dy}{dx}=\frac{x^2-2y)/x ?

The solution for (dy}{dx}=\frac{x^2-2y)/x is y=(x^2)/4+(c_{1})/(x^2)

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(dy}{dx}=\frac{x^2-2y)/x

\frac{d y}{d x} = \frac{x ^{2} - 2 y}{x}

y = \frac{x ^{2}}{4} + \frac{c _{1}}{x ^{2}}

Solution steps

\frac{d y}{d x} = \frac{x ^{2} - 2 y}{x}

Solve linear ODE:

y = \frac{x ^{2}}{4} + \frac{c _{1}}{x ^{2}}

y = \frac{x ^{2}}{4} + \frac{c _{1}}{x ^{2}}

x \to 2 lim (\frac{2 x + 1}{x - 2})

\frac{d}{d x} (sin (3 x))

n = 1 \sum \infty (\frac{2}{3})^{n + 2}

\frac{\partial}{\partial x} (\frac{- 1}{x ^{2} + y ^{2}})

e^{- 3 t} + 3 + 2 t + 4 t^{2} + 5 t^{3}

What is the solution for (dy}{dx}=\frac{x^2-2y)/x ?
The solution for (dy}{dx}=\frac{x^2-2y)/x is y=(x^2)/4+(c_{1})/(x^2)