What is the solution for (dx)/(dy)=y^2x-x+y^2-1 ?

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

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(dx)/(dy)=y^2x-x+y^2-1

\frac{d x}{d y} = y^{2} x - x + y^{2} - 1

x = e^{\frac{y ^{3}}{3} - y + c_{1}} - 1

Solution steps

\frac{d x}{d y} = y^{2} x - x + y^{2} - 1

Solve separable ODE:

x = e^{\frac{y ^{3}}{3} - y + c_{1}} - 1

x = e^{\frac{y ^{3}}{3} - y + c_{1}} - 1

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