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Beliebt Rechnen >

0.2x^{''}+4x^'+20x=0

Lösung

0.2 x^{^{''}} + 4 x^{^{'}} + 20 x = 0

Lösung

x = c_{1} e^{- 10 t} + c_{2} t e^{- 10 t}

Schritte zur Lösung

0.2 x^{''} (t) + 4 x^{'} (t) + 20 x = 0

Solve linear ODE:

x = c_{1} e^{- 10 t} + c_{2} t e^{- 10 t}

x = c_{1} e^{- 10 t} + c_{2} t e^{- 10 t}

Graph

Beliebte Beispiele

y^{''}+y=0,y(0)=0,y^'(0)=-2

y^{^{''}} + y = 0, y (0) = 0, y^{^{'}} (0) = - 2

(D^4+D^3-3D^2-5D-2)y=0

(D^{4} + D^{3} - 3 D^{2} - 5 D - 2) y = 0

x^{''}+5x^'+6x=0,x(0)=2,x^'(0)=3

x^{^{''}} + 5 x^{^{'}} + 6 x = 0, x (0) = 2, x^{^{'}} (0) = 3

625y^{''''}-y=0

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

10y^{''}+9y^'+2y^'=0

10 y^{^{''}} + 9 y^{^{'}} + 2 y^{^{'}} = 0