What is the solution for dx+(x-ey)dy=0 ?

The solution for dx+(x-ey)dy=0 is y=\W(-1/(e^{(e+c_{1)+x)/e}})+1+x/e

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dx+(x-ey)dy=0

d x + (x - ey) d y = 0

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

Solution steps

d x + (x - ey) d y = 0

Solve using substitution:

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

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

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What is the solution for dx+(x-ey)dy=0 ?
The solution for dx+(x-ey)dy=0 is y=\W(-1/(e^{(e+c_{1)+x)/e}})+1+x/e