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}{d x} (\frac{3}{4} x^{\frac{4}{3}} - \frac{3}{8} x^{\frac{2}{3}} + 7)

\int \frac{1}{( x ) ^{2}} d x

\frac{d}{d x} (e^{x y z})

x \to 3 lim (2 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}