en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

(du)/u+(dv)/v =1

\frac{d u}{u} + \frac{d v}{v} = 1

y*ln(x)(dy}{dx}=(\frac{y+1)/x)^2

y \cdot ln (x) \frac{d y}{d x} = (\frac{y + 1}{x})^{2}

(dN)/(dt)=k(1-N)^2

\frac{d N}{d t} = k (1 - N)^{2}

(dt)/(dx)=(8t)/(x+5)

\frac{d t}{d x} = \frac{8 t}{x + 5}

(dx)/(dt)=75-x/(100),x=2000,t=0

\frac{d x}{d t} = 75 - \frac{x}{100}, x = 2000, t = 0

Frequently Asked Questions (FAQ)

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