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Beliebt Rechnen >

y^{''}+0.5y^'+4y=0

Lösung

y^{^{''}} + 0.5 y^{^{'}} + 4 y = 0

Lösung

y = e^{- \frac{t}{4}} (c_{1} cos (\frac{3 7 t}{4}) + c_{2} sin (\frac{3 7 t}{4}))

Schritte zur Lösung

y^{''} (t) + 0.5 y^{'} (t) + 4 y = 0

Solve linear ODE:

y = e^{- \frac{t}{4}} (c_{1} cos (\frac{3 7 t}{4}) + c_{2} sin (\frac{3 7 t}{4}))

y = e^{- \frac{t}{4}} (c_{1} cos (\frac{3 7 t}{4}) + c_{2} sin (\frac{3 7 t}{4}))

Graph

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