What is the solution for (dy)/(dx)=(2y^2)/(x^2) ?

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

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(dy)/(dx)=(2y^2)/(x^2)

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

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

Solution steps

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

Solve separable ODE:

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

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

\frac{d y}{d x} = \frac{10 x}{3 y}

\int x^{3} e^{- x} d x

\frac{d}{d x} (\frac{1}{ln ( x + 1 )} - \frac{1}{ln ( x + 3 )})

x \to 0 lim (x \cdot csc (x))

x \to 0 lim (5 x - 2)

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