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Beliebt Rechnen >

(dx)/(dt)=14-0.56x,t(0)=130

Lösung

\frac{d x}{d t} = 14 - 0.56 x, t (0) = 130

Lösung

x = - \frac{e ^{- 0.56 t - c_{1}}}{0.56} + \frac{14}{0.56}

Schritte zur Lösung

\frac{d x}{d t} = 14 - 0.56 x

Solve separable ODE:

x = - \frac{e ^{- 0.56 t - c_{1}}}{0.56} + \frac{14}{0.56}

x = - \frac{e ^{- 0.56 t - c_{1}}}{0.56} + \frac{14}{0.56}

Graph

Beliebte Beispiele

dx= 1/(1+y^2)dy

d x = \frac{1}{1 + y ^{2}} d y

x-y/(y^')=2x-3x^2

x - \frac{y}{y ^{^{'}}} = 2 x - 3 x^{2}

y=3sin(x)(dy)/(dx)

y = 3 sin (x) \frac{d y}{d x}

(1+e^x)*y*y^'=e^x,y(0)=1

(1 + e^{x}) \cdot y \cdot y^{^{'}} = e^{x}, y (0) = 1

y^'=0.05y(1-y/(4000))

y^{^{'}} = 0.05 y (1 - \frac{y}{4000})