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

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

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(dy)/(dx)=-(xy)/(ln(y))

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

y = e^{- x^{2} + c_{1}}, y = e^{- - x^{2} + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{- x^{2} + c_{1}}, y = e^{- - x^{2} + c_{1}}

y = e^{- x^{2} + c_{1}}, y = e^{- - x^{2} + c_{1}}

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