de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

\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

Graph

Beliebte Beispiele

sqrt(x)(dy)/(dx)=e^{3y+sqrt(x)},x>0

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

y^'=2sqrt(y),y(0)=0

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

(2x^2y+y^3)dx+(xy^2+2x^3)dy=0

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

(dy)/(dx)=ay(1-y)

\frac{d y}{d x} = a y (1 - y)

y^{^{'}} = - 8 x^{2} y