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

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

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

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

y = - \frac{1}{e ^{x^{2}} + c _{1}}, y = - - \frac{1}{e ^{x^{2}} + c _{1}}

Solution steps

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

Solve separable ODE:

y = - \frac{1}{e ^{x^{2}} + c _{1}}, y = - - \frac{1}{e ^{x^{2}} + c _{1}}

y = - \frac{1}{e ^{x^{2}} + c _{1}}, y = - - \frac{1}{e ^{x^{2}} + c _{1}}

y^{^{''}} - 8 y = 0

e^{x + y}

\int_{1}^{4} 5 x + 3 x^{2} - 8 d x

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

a x^{^{''}} + b x = 0

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