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

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

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(dy)/(dx)= y/x ln(y/x)

\frac{d y}{d x} = \frac{y}{x} ln (\frac{y}{x})

y = e^{c_{1} x + 1} x

Solution steps

\frac{d y}{d x} = \frac{y}{x} ln (\frac{y}{x})

Solve using substitution:

y = e^{c_{1} x + 1} x

y = e^{c_{1} x + 1} x

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