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Beliebt Rechnen >

(dx)/(dt)=30-x/(100),x=2000,t=0

Lösung

\frac{d x}{d t} = 30 - \frac{x}{100}, x = 2000, t = 0

Lösung

x = - 1000 e^{- \frac{t}{100}} + 3000

Schritte zur Lösung

\frac{d x}{d t} = 30 - \frac{x}{100}

Solve separable ODE:

x = - 1000 e^{- \frac{t}{100}} + 3000

x = - 1000 e^{- \frac{t}{100}} + 3000

Graph

Beliebte Beispiele

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

(dS)/(dt)=0.04-1/600 S

\frac{d S}{d t} = 0.04 - \frac{1}{600} S

(dy)/(dt)+t/(y(t^2-1))=0

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

x \frac{d x}{d y} = 4 y

(dy)/y =(dx)/((1+x))

\frac{d y}{y} = \frac{d x}{( 1 + x )}