What is the solution for (d^2x)/(dx^2)+a*(dy)/(dx)=b*y^{-2} ?

The solution for (d^2x)/(dx^2)+a*(dy)/(dx)=b*y^{-2} is y=\sqrt[3]{(3bx)/a+(c_{1})/a}

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(d^2x)/(dx^2)+a(dy)/(dx)=by^{-2}

\frac{d ^{2} x}{d x ^{2}} + a \cdot \frac{d y}{d x} = b \cdot y^{- 2}

y = 3 \frac{3 b x}{a} + \frac{c _{1}}{a}

Solution steps

\frac{d ^{2} x}{d x ^{2}} + a \cdot \frac{d y}{d x} = b \cdot y^{- 2}

Solve separable ODE:

y = 3 \frac{3 b x}{a} + \frac{c _{1}}{a}

y = 3 \frac{3 b x}{a} + \frac{c _{1}}{a}

\frac{d p}{d y} \cdot p = - \frac{1}{2 y ^{3}}

y^{^{'}} = e^{(2 + 3) x + (1 + 1) y}

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

\frac{d y}{d x} x^{2} y - 2 x = 5

y^{^{'}} = 0.25 - y^{2}

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