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Beliebt Rechnen >

x^{''}+10x^'+25x=0

Lösung

x^{^{''}} + 10 x^{^{'}} + 25 x = 0

Lösung

x = c_{1} e^{- 5 t} + c_{2} t e^{- 5 t}

Schritte zur Lösung

x^{''} (t) + 10 x^{'} (t) + 25 x = 0

Solve linear ODE:

x = c_{1} e^{- 5 t} + c_{2} t e^{- 5 t}

x = c_{1} e^{- 5 t} + c_{2} t e^{- 5 t}

Graph

Beliebte Beispiele

y^{''''}-6y^{'''}+9y^{''}=0

y^{^{''''}} - 6 y^{^{'''}} + 9 y^{^{''}} = 0

y^{''}-9y^'-52y=0

y^{^{''}} - 9 y^{^{'}} - 52 y = 0

y^{''}+4y^'-5y=0,y(0)=1,y^'(0)=7,y(0)=y

y^{^{''}} + 4 y^{^{'}} - 5 y = 0, y (0) = 1, y^{^{'}} (0) = 7, y (0) = y

y^{''''}-7y^{''}-18y=0

y^{^{''''}} - 7 y^{^{''}} - 18 y = 0

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

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