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Beliebt Rechnen >

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

Lösung

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

Lösung

x = c_{1} e^{t} + c_{2} e^{- 6 t}

Schritte zur Lösung

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

Solve linear ODE:

x = c_{1} e^{t} + c_{2} e^{- 6 t}

x = c_{1} e^{t} + c_{2} e^{- 6 t}

Graph

Beliebte Beispiele

2y^{''}+6y^'+8y=0

2 y^{^{''}} + 6 y^{^{'}} + 8 y = 0

y^{'''}-y^{''}+2y^'-2y=0

y^{^{'''}} - y^{^{''}} + 2 y^{^{'}} - 2 y = 0

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

y^{''}-3y^'-4y=0,y(0)=3,y^'(0)=2

y^{^{''}} - 3 y^{^{'}} - 4 y = 0, y (0) = 3, y^{^{'}} (0) = 2

y^{''}+16y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 16 y = 0, y (0) = 1, y^{^{'}} (0) = 0