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

The solution for (dy)/(dx)+2xy= x/(y^2) is y=\sqrt[3]{(-e^{-3x^2-c_{1}}+1)/2}

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

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

y = 3 \frac{- e ^{- 3 x^{2} - c_{1}} + 1}{2}

Solution steps

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

Solve separable ODE:

y = 3 \frac{- e ^{- 3 x^{2} - c_{1}} + 1}{2}

y = 3 \frac{- e ^{- 3 x^{2} - c_{1}} + 1}{2}

\int cot (18 x) d x

\frac{d}{d x} (x^{2} + 10 x)

in v erse l a pl a ce \frac{1}{( s ( s ^{2} + 1 ) )}

\frac{d}{d s} (s^{3})

n = 0 \sum \infty \frac{5 ^{n}}{6 ^{n}}

What is the solution for (dy)/(dx)+2xy= x/(y^2) ?
The solution for (dy)/(dx)+2xy= x/(y^2) is y=\sqrt[3]{(-e^{-3x^2-c_{1}}+1)/2}