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Beliebt Rechnen >

x^{''}-c^2x=0

Lösung

x^{^{''}} - c^{2} x = 0

Lösung

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

Schritte zur Lösung

x^{''} (t) - c^{2} x = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-8y^'+65y=0,y(0)=1,y^'(0)=2

y^{^{''}} - 8 y^{^{'}} + 65 y = 0, y (0) = 1, y^{^{'}} (0) = 2

y^{''}-9y^'+22y=0

y^{^{''}} - 9 y^{^{'}} + 22 y = 0

y^{''}+6y+25y=0,y(0)=1,y^'(0)=-1

y^{^{''}} + 6 y + 25 y = 0, y (0) = 1, y^{^{'}} (0) = - 1

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

15 x^{^{''}} + 44 x = 0