What is the solution for (dy)/(dx)=y^3xe^{x^2},y(0)=1 ?

The solution for (dy)/(dx)=y^3xe^{x^2},y(0)=1 is y=sqrt(-1/(e^{x^2)-2)}

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(dy)/(dx)=y^3xe^{x^2},y(0)=1

\frac{d y}{d x} = y^{3} x e^{x^{2}}, y (0) = 1

y = - \frac{1}{e ^{x^{2}} - 2}

Solution steps

\frac{d y}{d x} = y^{3} x e^{x^{2}}

Solve separable ODE:

y = - \frac{1}{e ^{x^{2}} - 2}

y = - \frac{1}{e ^{x^{2}} - 2}

What is the solution for (dy)/(dx)=y^3xe^{x^2},y(0)=1 ?
The solution for (dy)/(dx)=y^3xe^{x^2},y(0)=1 is y=sqrt(-1/(e^{x^2)-2)}