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Beliebt Rechnen >

y^{'''}-12y^{''}+47y^'-66y=0

Lösung

y^{^{'''}} - 12 y^{^{''}} + 47 y^{^{'}} - 66 y = 0

Lösung

y = c_{1} e^{6 t} + e^{3 t} (c_{2} cos (2 t) + c_{3} sin (2 t))

Schritte zur Lösung

y^{'''} (t) - 12 y^{''} (t) + 47 y^{'} (t) - 66 y = 0

Solve linear ODE:

y = c_{1} e^{6 t} + e^{3 t} (c_{2} cos (2 t) + c_{3} sin (2 t))

y = c_{1} e^{6 t} + e^{3 t} (c_{2} cos (2 t) + c_{3} sin (2 t))

Graph

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