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Beliebt Rechnen >

(dv)/(dt)=sqrt(9.8v),v(0)=5.3

Lösung

\frac{d v}{d t} = 9.8 v, v (0) = 5.3

Lösung

v = 2.45 t^{2} + 7.20694 \dots t + 5.3

Schritte zur Lösung

\frac{d v}{d t} = 9.8 v

Solve separable ODE:

v = 2.45 t^{2} + 7.20694 \dots t + 5.3

v = 2.45 t^{2} + 7.20694 \dots t + 5.3

Graph

Beliebte Beispiele

(dx)/(dt)=100-x/(100),x=4000,t=0

\frac{d x}{d t} = 100 - \frac{x}{100}, x = 4000, t = 0

(6+x)y^'=(x+7)(y-6)

(6 + x) y^{^{'}} = (x + 7) (y - 6)

y \cdot y^{^{'}} + 2 x - 1 = 0

y^'=xy+x-2y-2,y(0)=1

y^{^{'}} = x y + x - 2 y - 2, y (0) = 1

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