What is the solution for ye^{-x}(dy)/(dx)=x ?

The solution for ye^{-x}(dy)/(dx)=x is y=sqrt(2e^xx-2e^x+c_{1)},y=-sqrt(2e^xx-2e^x+c_{1)}

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ye^{-x}(dy)/(dx)=x

y e^{- x} \frac{d y}{d x} = x

y = 2 e^{x} x - 2 e^{x} + c_{1}, y = - 2 e^{x} x - 2 e^{x} + c_{1}

Solution steps

y e^{- x} \frac{d y}{d x} = x

Solve separable ODE:

y = 2 e^{x} x - 2 e^{x} + c_{1}, y = - 2 e^{x} x - 2 e^{x} + c_{1}

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What is the solution for ye^{-x}(dy)/(dx)=x ?
The solution for ye^{-x}(dy)/(dx)=x is y=sqrt(2e^xx-2e^x+c_{1)},y=-sqrt(2e^xx-2e^x+c_{1)}