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Beliebt Rechnen >

x^{'''}+x=0

Lösung

x^{^{'''}} + x = 0

Lösung

x = c_{1} e^{- t} + e^{\frac{t}{2}} (c_{2} cos (\frac{3 t}{2}) + c_{3} sin (\frac{3 t}{2}))

Schritte zur Lösung

x^{'''} (t) + x = 0

Solve linear ODE:

x = c_{1} e^{- t} + e^{\frac{t}{2}} (c_{2} cos (\frac{3 t}{2}) + c_{3} sin (\frac{3 t}{2}))

x = c_{1} e^{- t} + e^{\frac{t}{2}} (c_{2} cos (\frac{3 t}{2}) + c_{3} sin (\frac{3 t}{2}))

Graph

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