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Beliebt Rechnen >

9y^{''}-6y^'+8y=0

Lösung

9 y^{^{''}} - 6 y^{^{'}} + 8 y = 0

Lösung

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

Schritte zur Lösung

9 y^{''} (t) - 6 y^{'} (t) + 8 y = 0

Solve linear ODE:

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

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

Graph

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