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Beliebt Rechnen >

(d^2x)/(dt^2)+2(dx)/(dt)+4x=0

Lösung

\frac{d ^{2} x}{d t ^{2}} + 2 \frac{d x}{d t} + 4 x = 0

Lösung

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

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} + 2 \frac{d x}{d t} + 4 x = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

2y^{''}+y^'+2y=0

2 y^{^{''}} + y^{^{'}} + 2 y = 0

16y^{''''}+48y^{''}+36y=0

16 y^{^{''''}} + 48 y^{^{''}} + 36 y = 0

y^{''}+4y^'+4y=0,y(0)=11

y^{^{''}} + 4 y^{^{'}} + 4 y = 0, y (0) = 11

(d^2y)/(dx^2)+2y=0

\frac{d ^{2} y}{d x ^{2}} + 2 y = 0

x^{^{''}} + 6 x = 0