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

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

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

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

f (x) = e^{\frac{1}{2} x}

\frac{d}{d x} (x + 7)

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1 + 6 x^{\frac{3}{2}}

\int \frac{1}{3 + x + 2} d x

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