What is the solution for e^xydy=(e^{-y}+e^{2x-y})dx ?

The solution for e^xydy=(e^{-y}+e^{2x-y})dx is y=\W((-e^{-x}+e^x+c_{1})/e)+1

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e^xydy=(e^{-y}+e^{2x-y})dx

e^{x} y d y = (e^{- y} + e^{2 x - y}) d x

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

Solution steps

e^{x} y d y = (e^{- y} + e^{2 x - y}) d x

Solve separable ODE:

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

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

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What is the solution for e^xydy=(e^{-y}+e^{2x-y})dx ?
The solution for e^xydy=(e^{-y}+e^{2x-y})dx is y=\W((-e^{-x}+e^x+c_{1})/e)+1