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Beliebt Rechnen >

x^{''}-cx=0

Lösung

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

Lösung

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

Schritte zur Lösung

x^{''} (t) - c 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

800x^{''}+80x^'-3x=0

800 x^{^{''}} + 80 x^{^{'}} - 3 x = 0

y^{''}+4y^'+29y=0,y(0)=4,y^'(0)=-7

y^{^{''}} + 4 y^{^{'}} + 29 y = 0, y (0) = 4, y^{^{'}} (0) = - 7

y^{''}+4y^'+29y=0,y(0)=4,y^'(0)=-5

y^{^{''}} + 4 y^{^{'}} + 29 y = 0, y (0) = 4, y^{^{'}} (0) = - 5

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

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

2y^{''}+9y^'+7y=0

2 y^{^{''}} + 9 y^{^{'}} + 7 y = 0