What is the solution for (dy)/(dx)=-(2x+ln(y))*y/x ?

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

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(dy)/(dx)=-(2x+ln(y))*y/x

\frac{d y}{d x} = - (2 x + ln (y)) \cdot \frac{y}{x}

y = e^{\frac{c _{1} - x ^{2}}{x}}

Solution steps

\frac{d y}{d x} = - (2 x + ln (y)) \cdot \frac{y}{x}

Solve using substitution:

y = e^{\frac{c _{1} - x ^{2}}{x}}

y = e^{\frac{c _{1} - x ^{2}}{x}}

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