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Beliebt Rechnen >

(dV)/(dt)=90-(5V)/(100)

Lösung

\frac{d V}{d t} = 90 - \frac{5 V}{100}

Lösung

V = - e^{\frac{- t - c _{1}}{20}} + 1800

Schritte zur Lösung

\frac{d V}{d t} = 90 - \frac{5 V}{100}

Solve separable ODE:

V = - e^{\frac{- t - c _{1}}{20}} + 1800

V = - e^{\frac{- t - c _{1}}{20}} + 1800

Graph

Beliebte Beispiele

(dy)/(dx)=15xsec(y)

\frac{d y}{d x} = 15 x sec (y)

y^'=(x^2)/(y+1),y(0)=4

y^{^{'}} = \frac{x ^{2}}{y + 1}, y (0) = 4

(dx)/(dt)= 1/(xe^{t+11x)}

\frac{d x}{d t} = \frac{1}{x e ^{t + 11 x}}

y^{^{'}} = 2 y e^{t}

sqrt(10-x^2)y^'=e^{6y}sin(x)

10 - x^{2} y^{^{'}} = e^{6 y} sin (x)