What is the solution for (dy}{dx}=\frac{(xy)^2)/8+y^2 ?

The solution for (dy}{dx}=\frac{(xy)^2)/8+y^2 is y=-(24)/(x^3+24x+c_{1)}

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(dy}{dx}=\frac{(xy)^2)/8+y^2

\frac{d y}{d x} = \frac{( x y ) ^{2}}{8} + y^{2}

y = - \frac{24}{x ^{3} + 24 x + c _{1}}

Solution steps

\frac{d y}{d x} = \frac{( x y ) ^{2}}{8} + y^{2}

Solve separable ODE:

y = - \frac{24}{x ^{3} + 24 x + c _{1}}

y = - \frac{24}{x ^{3} + 24 x + c _{1}}

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x \to 4 + lim (\frac{1}{x ^{2} - 16})

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What is the solution for (dy}{dx}=\frac{(xy)^2)/8+y^2 ?
The solution for (dy}{dx}=\frac{(xy)^2)/8+y^2 is y=-(24)/(x^3+24x+c_{1)}