What is the solution for (dx)/(dt)=5-(3x)/(1500) ?

The solution for (dx)/(dt)=5-(3x)/(1500) is x=-e^{(-t-c_{1})/(500)}+2500

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dx)/(dt)=5-(3x)/(1500)

\frac{d x}{d t} = 5 - \frac{3 x}{1500}

x = - e^{\frac{- t - c _{1}}{500}} + 2500

Solution steps

\frac{d x}{d t} = 5 - \frac{3 x}{1500}

Solve separable ODE:

x = - e^{\frac{- t - c _{1}}{500}} + 2500

x = - e^{\frac{- t - c _{1}}{500}} + 2500

\frac{1}{x} \frac{d y}{d x} = e^{x - y} + e^{- y}

y^{^{'}} = - \frac{x - 3}{y - 8}, y (3) = 10

+ x ye d y + 4 x d x = 0

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

\frac{d y}{d x} = \frac{( 40 - 2 y )}{80}

What is the solution for (dx)/(dt)=5-(3x)/(1500) ?
The solution for (dx)/(dt)=5-(3x)/(1500) is x=-e^{(-t-c_{1})/(500)}+2500