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Beliebt Rechnen >

y^{''}-y^'+484y=22sin(22t)

Lösung

y^{^{''}} - y^{^{'}} + 484 y = 22 sin (22 t)

Lösung

y = e^{\frac{t}{2}} (c_{1} cos (\frac{3 215 t}{2}) + c_{2} sin (\frac{3 215 t}{2})) + cos (22 t)

Schritte zur Lösung

y^{''} (t) - y^{'} (t) + 484 y = 22 sin (22 t)

Solve linear ODE:

y = e^{\frac{t}{2}} (c_{1} cos (\frac{3 215 t}{2}) + c_{2} sin (\frac{3 215 t}{2})) + cos (22 t)

y = e^{\frac{t}{2}} (c_{1} cos (\frac{3 215 t}{2}) + c_{2} sin (\frac{3 215 t}{2})) + cos (22 t)

Graph

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