What is the solution for (dy}{dx}=\frac{y+sqrt(x^2+y^2))/x ?

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

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(dy}{dx}=\frac{y+sqrt(x^2+y^2))/x

\frac{d y}{d x} = \frac{y + x ^{2} + y ^{2}}{x}

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

Solution steps

\frac{d y}{d x} = \frac{y + x ^{2} + y ^{2}}{x}

Solve using substitution:

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

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

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