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Beliebt Rechnen >

x^{''}+4x^'+13x=0

Lösung

x^{^{''}} + 4 x^{^{'}} + 13 x = 0

Lösung

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

Schritte zur Lösung

x^{''} (t) + 4 x^{'} (t) + 13 x = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

y^{'''}+5y^{''}-25y^'-125y=0

y^{^{'''}} + 5 y^{^{''}} - 25 y^{^{'}} - 125 y = 0

3y^{''}+y^'-y=0

3 y^{^{''}} + y^{^{'}} - y = 0

y^{'''}+3y^{''}-9y^'+5y=0

y^{^{'''}} + 3 y^{^{''}} - 9 y^{^{'}} + 5 y = 0

-0.1y^{''}+10y=0,y(0)=1,y(1)=0

- 0.1 y^{^{''}} + 10 y = 0, y (0) = 1, y (1) = 0