What is the solution for e^x(dy)/(dx)+xy^2=0 ?

The solution for e^x(dy)/(dx)+xy^2=0 is y=-(e^x)/(x+1+c_{1)e^x}

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e^x(dy)/(dx)+xy^2=0

e^{x} \frac{d y}{d x} + x y^{2} = 0

y = - \frac{e ^{x}}{x + 1 + c _{1} e ^{x}}

Solution steps

e^{x} \frac{d y}{d x} + x y^{2} = 0

Solve separable ODE:

y = - \frac{e ^{x}}{x + 1 + c _{1} e ^{x}}

y = - \frac{e ^{x}}{x + 1 + c _{1} e ^{x}}

What is the solution for e^x(dy)/(dx)+xy^2=0 ?
The solution for e^x(dy)/(dx)+xy^2=0 is y=-(e^x)/(x+1+c_{1)e^x}