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Beliebt Rechnen >

(dx)/(dt)+x/(100)=75,x(0)=5000

Lösung

\frac{d x}{d t} + \frac{x}{100} = 75, x (0) = 5000

Lösung

x = - 2500 e^{- \frac{t}{100}} + 7500

Schritte zur Lösung

\frac{d x}{d t} + \frac{x}{100} = 75

Solve separable ODE:

x = - 2500 e^{- \frac{t}{100}} + 7500

x = - 2500 e^{- \frac{t}{100}} + 7500

Graph

Beliebte Beispiele

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

(dy)/(dx)=-x/(5y)

\frac{d y}{d x} = - \frac{x}{5 y}

(dv)/(dx)=1-0.4v

\frac{d v}{d x} = 1 - 0.4 v

\frac{d N}{d t} = 2 N

(1+5e^{2x})(y^2-4)y^'=e^{2x}(y+2)

(1 + 5 e^{2 x}) (y^{2} - 4) y^{^{'}} = e^{2 x} (y + 2)