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Beliebt Rechnen >

x^{'''}-12x^{''}+48x^'-64x=0

Lösung

x^{^{'''}} - 12 x^{^{''}} + 48 x^{^{'}} - 64 x = 0

Lösung

x = c_{1} e^{4 t} + c_{2} t e^{4 t} + c_{3} t^{2} e^{4 t}

Schritte zur Lösung

x^{'''} (t) - 12 x^{''} (t) + 48 x^{'} (t) - 64 x = 0

Solve linear ODE:

x = c_{1} e^{4 t} + c_{2} t e^{4 t} + c_{3} t^{2} e^{4 t}

x = c_{1} e^{4 t} + c_{2} t e^{4 t} + c_{3} t^{2} e^{4 t}

Graph

Beliebte Beispiele

y^{^{''}} = 4 y^{^{'}} - 3 y

(D^{2} + 3 D - 10) y = 0

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

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

x^{''}+2x^'-3x=0,x(0)=-1,x^'(0)=3

x^{^{''}} + 2 x^{^{'}} - 3 x = 0, x (0) = - 1, x^{^{'}} (0) = 3

y^{''}-2y^'-15y=0,y(0)=2,y^'(0)=6

y^{^{''}} - 2 y^{^{'}} - 15 y = 0, y (0) = 2, y^{^{'}} (0) = 6