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}}

\int cos (x^{2} + 1) d x

y = x, 5 y = x + 6

\frac{d y}{d x} = \frac{4 y}{3 x}

\int \frac{1}{x ^{2} + 6 x + 5} d x

(8 (4 x)^{4} + 5)^{3}

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}