What is the solution for e^{x+y}*(dy)/(dx)=x ?

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

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e^{x+y}*(dy)/(dx)=x

e^{x + y} \cdot \frac{d y}{d x} = x

y = ln (- x e^{- x} - e^{- x} + c_{1})

Solution steps

e^{x + y} \cdot \frac{d y}{d x} = x

Solve separable ODE:

y = ln (- x e^{- x} - e^{- x} + c_{1})

y = ln (- x e^{- x} - e^{- x} + c_{1})

x^{^{'}} = x^{7}

\frac{d v}{d t} = \frac{0.1}{v} \cdot \frac{0.25}{t}

y \frac{d y}{d x} = 3, x (y^{2} + 6)^{8} = 3

\frac{d y}{d x} = (1 + x^{2}) (1 + y)

y^{2} y^{^{'}} = - 2 x y, y (0) = 2

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