What is the solution for (dy)/(dx)= y/((1+x)) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)= y/((1+x))

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

y = e^{c_{1}} + e^{c_{1}} x

Solution steps

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

Solve separable ODE:

y = e^{c_{1}} + e^{c_{1}} x

y = e^{c_{1}} + e^{c_{1}} x

- 2 y^{^{'}} - 3 y = 0

d y + (x^{2} - 1) y d x = 0

(2 x y^{2} + \frac{x}{y ^{2}}) d x + 4 x^{2} y d y = 0

sin (y) cos (x) y^{^{'}} = - cos (y) sin (x)

\frac{d y}{d t} = \frac{2 t}{y + y t ^{2}}, y (2) = 3

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