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Beliebt Rechnen >

x^{''}+4x^'+4x=0,x(0)=0,x^'(0)=2

Lösung

x^{^{''}} + 4 x^{^{'}} + 4 x = 0, x (0) = 0, x^{^{'}} (0) = 2

Lösung

x = 2 e^{- 2 t} t

Schritte zur Lösung

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

Solve linear ODE:

x = 2 e^{- 2 t} t

x = 2 e^{- 2 t} t

Graph

Beliebte Beispiele

15y^{''''}+83y^{''}+16y=0

15 y^{^{''''}} + 83 y^{^{''}} + 16 y = 0

y^{''}+64y=0,y(0)=4,y^'(0)=3

y^{^{''}} + 64 y = 0, y (0) = 4, y^{^{'}} (0) = 3

12y^{''}-5y^'-3y=0,y(0)=2

12 y^{^{''}} - 5 y^{^{'}} - 3 y = 0, y (0) = 2

y^{''}+64y=0,y(0)=4,y^'(0)=7

y^{^{''}} + 64 y = 0, y (0) = 4, y^{^{'}} (0) = 7

y^{^{'}} + 4 y^{^{''}} = 0