What is the solution for (1+e^x)(dy)/(dx)+e^xy=0 ?

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

\int \frac{3 x}{x + 2} d x

y^{^{'}} = 0.05 y + 5500

x \to 0 lim (1 - \frac{cos ( 3 x )}{x})

y = lo g_{2} (x), (32, 5)

\int (x^{3} + x) d x

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