What is the solution for (dy}{dx}=\frac{(x^3))/y ?

The solution for (dy}{dx}=\frac{(x^3))/y is y=sqrt((x^4)/2+c_{1)},y=-sqrt((x^4)/2+c_{1)}

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(dy}{dx}=\frac{(x^3))/y

\frac{d y}{d x} = \frac{( x ^{3} )}{y}

y = \frac{x ^{4}}{2} + c_{1}, y = - \frac{x ^{4}}{2} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{( x ^{3} )}{y}

Solve separable ODE:

y = \frac{x ^{4}}{2} + c_{1}, y = - \frac{x ^{4}}{2} + c_{1}

y = \frac{x ^{4}}{2} + c_{1}, y = - \frac{x ^{4}}{2} + c_{1}

What is the solution for (dy}{dx}=\frac{(x^3))/y ?
The solution for (dy}{dx}=\frac{(x^3))/y is y=sqrt((x^4)/2+c_{1)},y=-sqrt((x^4)/2+c_{1)}