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Beliebt Rechnen >

24y^{'''}+2y^{''}-5y^'-y=0

Lösung

24 y^{^{'''}} + 2 y^{^{''}} - 5 y^{^{'}} - y = 0

Lösung

y = c_{1} e^{\frac{t}{2}} + c_{2} e^{- \frac{t}{4}} + c_{3} e^{- \frac{t}{3}}

Schritte zur Lösung

24 y^{'''} (t) + 2 y^{''} (t) - 5 y^{'} (t) - y = 0

Solve linear ODE:

y = c_{1} e^{\frac{t}{2}} + c_{2} e^{- \frac{t}{4}} + c_{3} e^{- \frac{t}{3}}

y = c_{1} e^{\frac{t}{2}} + c_{2} e^{- \frac{t}{4}} + c_{3} e^{- \frac{t}{3}}

Graph

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