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Beliebt Rechnen >

y^{''}+y^'+36y=6sin(6t)

Lösung

y^{^{''}} + y^{^{'}} + 36 y = 6 sin (6 t)

Lösung

y = e^{- \frac{t}{2}} (c_{1} cos (\frac{143 t}{2}) + c_{2} sin (\frac{143 t}{2})) - cos (6 t)

Schritte zur Lösung

y^{''} (t) + y^{'} (t) + 36 y = 6 sin (6 t)

Solve linear ODE:

y = e^{- \frac{t}{2}} (c_{1} cos (\frac{143 t}{2}) + c_{2} sin (\frac{143 t}{2})) - cos (6 t)

y = e^{- \frac{t}{2}} (c_{1} cos (\frac{143 t}{2}) + c_{2} sin (\frac{143 t}{2})) - cos (6 t)

Graph

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