What is the solution for (dS)/(dt)=0.06-(3S)/(1420),t=10 ?

The solution for (dS)/(dt)=0.06-(3S)/(1420),t=10 is S=-(e^{-0.00211…t-c_{1}})/3+(85.2)/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dS)/(dt)=0.06-(3S)/(1420),t=10

\frac{d S}{d t} = 0.06 - \frac{3 S}{1420}, t = 10

S = - \frac{e ^{- 0.00211 \dots t - c_{1}}}{3} + \frac{85.2}{3}

Solution steps

\frac{d S}{d t} = 0.06 - \frac{3 S}{1420}

Solve separable ODE:

S = - \frac{e ^{- 0.00211 \dots t - c_{1}}}{3} + \frac{85.2}{3}

S = - \frac{e ^{- 0.00211 \dots t - c_{1}}}{3} + \frac{85.2}{3}

\frac{d x}{d t} = \frac{5}{x e ^{t + 4 x}}

y^{^{'}} = - 5 x^{4} y^{2}

\frac{d y}{d t} = k y + an

\frac{d x}{d y} = e^{- y} (2 x - 4)

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

What is the solution for (dS)/(dt)=0.06-(3S)/(1420),t=10 ?
The solution for (dS)/(dt)=0.06-(3S)/(1420),t=10 is S=-(e^{-0.00211…t-c_{1}})/3+(85.2)/3