What is the solution for e^{2x+3y}dy-e^{x-y}dx=0 ?

The solution for e^{2x+3y}dy-e^{x-y}dx=0 is y=(ln(-4e^{-x}+c_{1}))/4

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e^{2x+3y}dy-e^{x-y}dx=0

e^{2 x + 3 y} d y - e^{x - y} d x = 0

y = \frac{ln ( - 4 e ^{- x} + c _{1} )}{4}

Solution steps

e^{2 x + 3 y} d y - e^{x - y} d x = 0

Solve separable ODE:

y = \frac{ln ( - 4 e ^{- x} + c _{1} )}{4}

y = \frac{ln ( - 4 e ^{- x} + c _{1} )}{4}

What is the solution for e^{2x+3y}dy-e^{x-y}dx=0 ?
The solution for e^{2x+3y}dy-e^{x-y}dx=0 is y=(ln(-4e^{-x}+c_{1}))/4