What is the solution for (dy}{dx}=\frac{((x^2)(y^2)))/5 ?

The solution for (dy}{dx}=\frac{((x^2)(y^2)))/5 is y=-(15)/(x^3+c_{1)}

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(dy}{dx}=\frac{((x^2)(y^2)))/5

\frac{d y}{d x} = \frac{( ( x ^{2} ) ( y ^{2} ) )}{5}

y = - \frac{15}{x ^{3} + c _{1}}

Solution steps

\frac{d y}{d x} = \frac{( ( x ^{2} ) ( y ^{2} ) )}{5}

Solve separable ODE:

y = - \frac{15}{x ^{3} + c _{1}}

y = - \frac{15}{x ^{3} + c _{1}}

What is the solution for (dy}{dx}=\frac{((x^2)(y^2)))/5 ?
The solution for (dy}{dx}=\frac{((x^2)(y^2)))/5 is y=-(15)/(x^3+c_{1)}