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Beliebt Rechnen >

x^{''}+5x^'+6x=0

Lösung

x^{^{''}} + 5 x^{^{'}} + 6 x = 0

Lösung

x = c_{1} e^{- 2 t} + c_{2} e^{- 3 t}

Schritte zur Lösung

x^{''} (t) + 5 x^{'} (t) + 6 x = 0

Solve linear ODE:

x = c_{1} e^{- 2 t} + c_{2} e^{- 3 t}

x = c_{1} e^{- 2 t} + c_{2} e^{- 3 t}

Graph

Beliebte Beispiele

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

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

y^{''''}+14y^{''}+49y=0

y^{^{''''}} + 14 y^{^{''}} + 49 y = 0

y^{''}+16y=0,y(pi^2)=-10,y^'(pi^2)=3

y^{^{''}} + 16 y = 0, y (π^{2}) = - 10, y^{^{'}} (π^{2}) = 3

y^{''}-2y^'+10y=0,y(0)=0,y^'(0)=2

y^{^{''}} - 2 y^{^{'}} + 10 y = 0, y (0) = 0, y^{^{'}} (0) = 2

4y^{''}-7y^'+4y=0

4 y^{^{''}} - 7 y^{^{'}} + 4 y = 0