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Beliebt Rechnen >

(d^2x)/(dt^2)+5(dx)/(dt)+4x=0

Lösung

\frac{d ^{2} x}{d t ^{2}} + 5 \frac{d x}{d t} + 4 x = 0

Lösung

x = c_{1} e^{- t} + c_{2} e^{- 4 t}

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} + 5 \frac{d x}{d t} + 4 x = 0

Solve linear ODE:

x = c_{1} e^{- t} + c_{2} e^{- 4 t}

x = c_{1} e^{- t} + c_{2} e^{- 4 t}

Graph

Beliebte Beispiele

y^{^{''}} - 7 y^{^{'}} = 0

y^{''}-6y^'+13y=0,y(0)=e^{3x}cos(2x)

y^{^{''}} - 6 y^{^{'}} + 13 y = 0, y (0) = e^{3 x} cos (2 x)

2(d^2y)/(dx^2)-5(dy)/(dx)-3y=0

2 \frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} - 3 y = 0

(D^3+5D^2+7D+3)y=0

(D^{3} + 5 D^{2} + 7 D + 3) y = 0

y^{''}+y=0,y(0)=-1,y^'(0)=-5

y^{^{''}} + y = 0, y (0) = - 1, y^{^{'}} (0) = - 5