en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'=(e^y+1)/(e^y)

Solution

y^{^{'}} = \frac{e ^{y} + 1}{e ^{y}}

Solution

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

Solution steps

y^{'} (t) = \frac{e ^{y} + 1}{e ^{y}}

Solve separable ODE:

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

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

Popular Examples

limit as x approaches 3 of x^3+3x^2-x+2

x \to 3 lim (x^{3} + 3 x^{2} - x + 2)

area x^2-7,6x area

x^{2} - 7, 6 x

derivative of 3e^{1-x^2}

\frac{d}{d x} (3 e^{1 - x^{2}})

f (y) = \frac{1}{y ^{2}}

y \frac{d y}{d x} = - x

Frequently Asked Questions (FAQ)

What is the solution for y^'=(e^y+1)/(e^y) ?
The solution for y^'=(e^y+1)/(e^y) is y=ln(e^{t+c_{1}}-1)