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Beliebt Rechnen >

(dV)/(dt)=60-3/100 V

Lösung

\frac{d V}{d t} = 60 - \frac{3}{100} V

Lösung

V = - \frac{e ^{\frac{- 3 t - c _{1}}{100}}}{3} + 2000

Schritte zur Lösung

\frac{d V}{d t} = 60 - \frac{3}{100} V

Solve separable ODE:

V = - \frac{e ^{\frac{- 3 t - c _{1}}{100}}}{3} + 2000

V = - \frac{e ^{\frac{- 3 t - c _{1}}{100}}}{3} + 2000

Graph

Beliebte Beispiele

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

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

(dy)/(dx)=((y^2+y))/((x^2-x))

\frac{d y}{d x} = \frac{( y ^{2} + y )}{( x ^{2} - x )}

(dy)/(dx)+20xy=0

\frac{d y}{d x} + 20 x y = 0

y^'sec(x)=8y^2,y(pi/2)= 1/3

y^{^{'}} sec (x) = 8 y^{2}, y (\frac{π}{2}) = \frac{1}{3}

(dP)/(dt)=7sqrt(Pt),P(1)=7

\frac{d P}{d t} = 7 Pt, P (1) = 7