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Beliebt Rechnen >

(dQ)/(dt)+1/50 Q=0.2

Lösung

\frac{d Q}{d t} + \frac{1}{50} Q = 0.2

Lösung

Q = - 50 e^{\frac{- t - c _{1}}{50}} + 10

Schritte zur Lösung

\frac{d Q}{d t} + \frac{1}{50} Q = 0.2

Solve separable ODE:

Q = - 50 e^{\frac{- t - c _{1}}{50}} + 10

Q = - 50 e^{\frac{- t - c _{1}}{50}} + 10

Graph

Beliebte Beispiele

y=(t^2-20t+84)y^'

y = (t^{2} - 20 t + 84) y^{^{'}}

2x*sin(2y)+2x^2*cos(2y)y^'=0

2 x \cdot sin (2 y) + 2 x^{2} \cdot cos (2 y) y^{^{'}} = 0

y^'=(2x)/(-8y-10)

y^{^{'}} = \frac{2 x}{- 8 y - 10}

(dy)/(dx)=160+0.02*y,y(0)=2000

\frac{d y}{d x} = 160 + 0.02 \cdot y, y (0) = 2000

(dy)/(dx)y=cos(tan(7x+3))

\frac{d y}{d x} y = cos (tan (7 x + 3))