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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{t} + c_{2} e^{\frac{( - 1 + 5 ) t}{2}} + c_{3} e^{\frac{( - 1 - 5 ) t}{2}}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{\frac{( - 1 + 5 ) t}{2}} + c_{3} e^{\frac{( - 1 - 5 ) t}{2}}

y = c_{1} e^{t} + c_{2} e^{\frac{( - 1 + 5 ) t}{2}} + c_{3} e^{\frac{( - 1 - 5 ) t}{2}}

Graph

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