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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

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