What is the solution for (dy)/(dx)=((e^y))/(xy) ?

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

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(dy)/(dx)=((e^y))/(xy)

\frac{d y}{d x} = \frac{( e ^{y} )}{x y}

y = - W (\frac{ln ( x ) + c _{1}}{e}) - 1

Solution steps

\frac{d y}{d x} = \frac{( e ^{y} )}{x y}

Solve separable ODE:

y = - W (\frac{ln ( x ) + c _{1}}{e}) - 1

y = - W (\frac{ln ( x ) + c _{1}}{e}) - 1

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(6 - 10 y + e^{- 5 x}) d x - 2 d y = 0

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