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Beliebt Rechnen >

(dy)/(dt)=k(650-y),y(0)=300

Lösung

\frac{d y}{d t} = k (650 - y), y (0) = 300

Lösung

y = - 350 e^{- k t} + 650

Schritte zur Lösung

\frac{d y}{d t} = k (650 - y)

Solve separable ODE:

y = - 350 e^{- k t} + 650

y = - 350 e^{- k t} + 650

Graph

Beliebte Beispiele

f^'(x)=f(x)(x)^{-1}(x)

f^{^{'}} (x) = f (x) (x)^{- 1} (x)

(dy}{dx}=(\frac{y+1)/x)

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

(dy)/(dx)=y(10000-50x)

\frac{d y}{d x} = y (10000 - 50 x)

81x^2+2y*(dy)/(dx)=0

81 x^{2} + 2 y \cdot \frac{d y}{d x} = 0

y^'+1/2 (x-2)y^2=0,y(6)= 1/10

y^{^{'}} + \frac{1}{2} (x - 2) y^{2} = 0, y (6) = \frac{1}{10}