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

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

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y(dy)/(dx)-x^2=x^2y

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

y = - W (- \frac{1}{e ^{\frac{- c _{1} + x ^{3}}{3}}}) - 1

Solution steps

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

Solve separable ODE:

y = - W (- \frac{1}{e ^{\frac{- c _{1} + x ^{3}}{3}}}) - 1

y = - W (- \frac{1}{e ^{\frac{- c _{1} + x ^{3}}{3}}}) - 1

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