What is the solution for (dy)/(dx)+xe^{x+y}=0 ?

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

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(dy)/(dx)+xe^{x+y}=0

\frac{d y}{d x} + x e^{x + y} = 0

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

Solution steps

\frac{d y}{d x} + x e^{x + y} = 0

Solve separable ODE:

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

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

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t y^{^{'}} + 2 y = sin (t), y (\frac{π}{2}) = 9

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