en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dt)=y^2-y

Solution

\frac{d y}{d t} = y^{2} - y

Solution

y = \frac{1}{1 - e ^{t + c_{1}}}

Solution steps

\frac{d y}{d t} = y^{2} - y

Solve separable ODE:

y = \frac{1}{1 - e ^{t + c_{1}}}

y = \frac{1}{1 - e ^{t + c_{1}}}

Popular Examples

area x^3-10x,15x area

x^{3} - 10 x, 15 x

y^{'''}+y^{''}-4y^'-4y=0

y^{^{'''}} + y^{^{''}} - 4 y^{^{'}} - 4 y = 0

integral from 0 to 6 of (6x+2)

\int_{0}^{6} (6 x + 2) d x

integral of \sqrt[-3]{x}+2x

derivative of (2x+1^{1/2})

\frac{d}{d x} ((2 x + 1)^{\frac{1}{2}})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=y^2-y ?
The solution for (dy)/(dt)=y^2-y is y= 1/(1-e^{t+c_{1)}}