What is the solution for xdy-(y+x^3e^{x^2})dx=0 ?

The solution for xdy-(y+x^3e^{x^2})dx=0 is y= 1/2 e^{x^2}x+c_{1}x

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xdy-(y+x^3e^{x^2})dx=0

x d y - (y + x^{3} e^{x^{2}}) d x = 0

y = \frac{1}{2} e^{x^{2}} x + c_{1} x

Solution steps

x d y - (y + x^{3} e^{x^{2}}) d x = 0

Solve linear ODE:

y = \frac{1}{2} e^{x^{2}} x + c_{1} x

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What is the solution for xdy-(y+x^3e^{x^2})dx=0 ?
The solution for xdy-(y+x^3e^{x^2})dx=0 is y= 1/2 e^{x^2}x+c_{1}x