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}

x \to 3 lim (4 x^{2} - 3 x + 2)

\int \frac{1}{z ^{2} + 6 z + 10} d z

\frac{d}{d x} (3 x^{2} + 7 x - 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)}