What is the solution for (dx)/(dt)=0.04x+5000 ?

The solution for (dx)/(dt)=0.04x+5000 is x=25e^{(t+c_{1})/(25)}-125000

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dx)/(dt)=0.04x+5000

\frac{d x}{d t} = 0.04 x + 5000

x = 25 e^{\frac{t + c _{1}}{25}} - 125000

Solution steps

\frac{d x}{d t} = 0.04 x + 5000

Solve separable ODE:

x = 25 e^{\frac{t + c _{1}}{25}} - 125000

x = 25 e^{\frac{t + c _{1}}{25}} - 125000

\frac{d}{d x} ((y - 3)^{2}) = 4 (x - 5)

y^{^{'}} = y t^{2} - 1.1 y

x \frac{d y}{d x} = e^{3 y + x}, x > 0

y^{^{'}} = 2 y, y (0) = 0

(2 x^{2} y + y^{3}) d x + (x y^{2} + 2 x^{3}) d y = 0

What is the solution for (dx)/(dt)=0.04x+5000 ?
The solution for (dx)/(dt)=0.04x+5000 is x=25e^{(t+c_{1})/(25)}-125000