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

The solution for y*e^{-x}dx-e^{-x}dy=0 is y=e^{x+c_{1}}

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y*e^{-x}dx-e^{-x}dy=0

y \cdot e^{- x} d x - e^{- x} d y = 0

y = e^{x + c_{1}}

Solution steps

y \cdot e^{- x} d x - e^{- x} d y = 0

Solve separable ODE:

y = e^{x + c_{1}}

y = e^{x + c_{1}}

\frac{d y}{d x} - 2 y = 6

tan (x) sin^{3} (y) d x + sec^{3} (x) cos (y) d y = 0

y^{^{'}} csc (t) = - \frac{y ^{3}}{2}

\frac{d y}{d x} = 1 - x + y - x y, y (0) = 0

(x + 20) \frac{d y}{d x} = (y - 18)

What is the solution for y*e^{-x}dx-e^{-x}dy=0 ?
The solution for y*e^{-x}dx-e^{-x}dy=0 is y=e^{x+c_{1}}