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Beliebt Rechnen >

x^{''}-7x^'-8x=0

Lösung

x^{^{''}} - 7 x^{^{'}} - 8 x = 0

Lösung

x = c_{1} e^{8 t} + c_{2} e^{- t}

Schritte zur Lösung

x^{''} (t) - 7 x^{'} (t) - 8 x = 0

Solve linear ODE:

x = c_{1} e^{8 t} + c_{2} e^{- t}

x = c_{1} e^{8 t} + c_{2} e^{- t}

Graph

Beliebte Beispiele

y^{''}-16y^'+60y=0

y^{^{''}} - 16 y^{^{'}} + 60 y = 0

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

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

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

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

y^{''}+6y^'+13y=0,y(0)=3,y^'(0)=-8

y^{^{''}} + 6 y^{^{'}} + 13 y = 0, y (0) = 3, y^{^{'}} (0) = - 8

16y^{''}+56y^'+130y=0,y(1)=2,y^'(1)=5

16 y^{^{''}} + 56 y^{^{'}} + 130 y = 0, y (1) = 2, y^{^{'}} (1) = 5