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

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

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

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

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

Solution steps

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

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = (x e^{x^{2}})

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int x e^{x^{2}} d x

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

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

y^{^{'}} - 2 y = y^{3}

\frac{d}{d x} (arccsc (tan (e^{x})))

\frac{\partial}{\partial x} (e^{2 x} cos (8 y))

(\frac{1}{x ( ln ( x ) ) ^{2}})^{^{'}}

\frac{\partial}{\partial x} (\frac{x ^{2}}{2})

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