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

The solution for (y*e^{-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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(y*e^{-x})(dy)/(dx)=x

(y \cdot 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 \cdot 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}

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

\int_{0}^{π} 1 + cos (2 x) d x

\frac{\partial}{\partial x} (x + y^{2} + x y + 3)

y = x^{3} - 3

\frac{\partial}{\partial x} (\frac{x ^{2} \cdot y}{x ^{2} + y ^{2}})

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