What is the solution for (dy)/(dt)=3y(1+y) ?

The solution for (dy)/(dt)=3y(1+y) is y=(e^{3t+c_{1}})/(1-e^{3t+c_{1)}}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dt)=3y(1+y)

\frac{d y}{d t} = 3 y (1 + y)

y = \frac{e ^{3 t + c_{1}}}{1 - e ^{3 t + c_{1}}}

Solution steps

\frac{d y}{d t} = 3 y (1 + y)

Solve separable ODE:

y = \frac{e ^{3 t + c_{1}}}{1 - e ^{3 t + c_{1}}}

y = \frac{e ^{3 t + c_{1}}}{1 - e ^{3 t + c_{1}}}

\frac{d v}{d t} = 5 - 2 v

y^{^{'}} = \frac{1 + x}{y}, y (0) = 1

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

x \frac{d y}{d x} = e^{8 y + x}, x > 0

y^{^{'}} = \frac{x ^{3} y}{x ^{4} + 1}

What is the solution for (dy)/(dt)=3y(1+y) ?
The solution for (dy)/(dt)=3y(1+y) is y=(e^{3t+c_{1}})/(1-e^{3t+c_{1)}}