What is the solution for (dy}{dx}=\frac{ln(x))/y ?

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

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(dy}{dx}=\frac{ln(x))/y

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

y = 2 x ln (x) - 2 x + c_{1}, y = - 2 x ln (x) - 2 x + c_{1}

Solution steps

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

Solve separable ODE:

y = 2 x ln (x) - 2 x + c_{1}, y = - 2 x ln (x) - 2 x + c_{1}

y = 2 x ln (x) - 2 x + c_{1}, y = - 2 x ln (x) - 2 x + c_{1}

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