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Beliebt Rechnen >

(dx)/(dt)+cos(t)x-cos(t)=0

Lösung

\frac{d x}{d t} + cos (t) x - cos (t) = 0

Lösung

x = e^{- s i n (t) + c_{1}} + 1

Schritte zur Lösung

\frac{d x}{d t} + cos (t) x - cos (t) = 0

Solve separable ODE:

x = e^{- s i n (t) + c_{1}} + 1

x = e^{- s i n (t) + c_{1}} + 1

Graph

Beliebte Beispiele

y^'=y(1-y/(2000))

y^{^{'}} = y (1 - \frac{y}{2000})

(dx)/(dt)=12-(36x)/(100)

\frac{d x}{d t} = 12 - \frac{36 x}{100}

(dy)/(dt)=-1/50 (y-17)

\frac{d y}{d t} = - \frac{1}{50} (y - 17)

d/(dt)(45440x)=-28920x

\frac{d}{d t} (45440 x) = - 28920 x

(dy)/(dx)=-3/8 x^3y^7

\frac{d y}{d x} = - \frac{3}{8} x^{3} y^{7}