What is the solution for (dy)/(dt)=0.04-y/((4320/7)) ?

The solution for (dy)/(dt)=0.04-y/((4320/7)) is y=-(e^{-0.00162…t-c_{1}})/7+(172.8)/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dt)=0.04-y/((4320/7))

\frac{d y}{d t} = 0.04 - \frac{y}{( \frac{4320}{7} )}

y = - \frac{e ^{- 0.00162 \dots t - c_{1}}}{7} + \frac{172.8}{7}

Solution steps

\frac{d y}{d t} = 0.04 - \frac{y}{( \frac{4320}{7} )}

Solve separable ODE:

y = - \frac{e ^{- 0.00162 \dots t - c_{1}}}{7} + \frac{172.8}{7}

y = - \frac{e ^{- 0.00162 \dots t - c_{1}}}{7} + \frac{172.8}{7}

y^{^{'}} = \frac{2 x y - 2 x}{x ^{2} + 3}

7 y^{^{'}} - 2 y - 80 = 6 y^{^{'}}

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

x^{^{'}} + x^{2} = 1

\frac{d y}{d t} = (t + 1) y, y (0) = \frac{1}{2}

What is the solution for (dy)/(dt)=0.04-y/((4320/7)) ?
The solution for (dy)/(dt)=0.04-y/((4320/7)) is y=-(e^{-0.00162…t-c_{1}})/7+(172.8)/7