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Beliebt Rechnen >

d/(dt)((dx)/(dt))+d/(dt)(6x)+10x=0

Lösung

\frac{d}{d t} (\frac{d x}{d t}) + \frac{d}{d t} (6 x) + 10 x = 0

Lösung

x = e^{- 3 t} (c_{1} cos (t) + c_{2} sin (t))

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} + \frac{d}{d t} (6 x) + 10 x = 0

Solve linear ODE:

x = e^{- 3 t} (c_{1} cos (t) + c_{2} sin (t))

x = e^{- 3 t} (c_{1} cos (t) + c_{2} sin (t))

Graph

Beliebte Beispiele

integral of x^2cos(kx)

\int x^{2} cos (k x) d x

integral of 2^{2x+1}

\int 2^{2 x + 1} d x

integral of 1/(ax+bx^2)

\int \frac{1}{a x + b x ^{2}} d x

limit as x approaches-1 of (x^2-1)/(x+1)

x \to - 1 lim (\frac{x ^{2} - 1}{x + 1})

(d^5)/(dx^5)(1/(x^2))

\frac{d ^{5}}{d x ^{5}} (\frac{1}{x ^{2}})