What is the solution for (dy)/(dx)=xy+x/y ?

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

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(dy)/(dx)=xy+x/y

\frac{d y}{d x} = x y + \frac{x}{y}

y = e^{x^{2} + c_{1}} - 1, y = - e^{x^{2} + c_{1}} - 1

Solution steps

\frac{d y}{d x} = x y + \frac{x}{y}

Solve separable ODE:

y = e^{x^{2} + c_{1}} - 1, y = - e^{x^{2} + c_{1}} - 1

y = e^{x^{2} + c_{1}} - 1, y = - e^{x^{2} + c_{1}} - 1

\int (x^{e} + e^{x}) d x

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