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Beliebt Rechnen >

0.25y^{''}+0.25y^'+16y=3cos(2t)

Lösung

0.25 y^{^{''}} + 0.25 y^{^{'}} + 16 y = 3 cos (2 t)

Lösung

y = e^{- \frac{t}{2}} (c_{1} cos (\frac{255 t}{2}) + c_{2} sin (\frac{255 t}{2})) + 0.00665 \dots sin (2 t) + \frac{180}{901} cos (2 t)

Schritte zur Lösung

0.25 y^{''} (t) + 0.25 y^{'} (t) + 16 y = 3 cos (2 t)

Solve linear ODE:

y = e^{- \frac{t}{2}} (c_{1} cos (\frac{255 t}{2}) + c_{2} sin (\frac{255 t}{2})) + 0.00665 \dots sin (2 t) + \frac{180}{901} cos (2 t)

y = e^{- \frac{t}{2}} (c_{1} cos (\frac{255 t}{2}) + c_{2} sin (\frac{255 t}{2})) + 0.00665 \dots sin (2 t) + \frac{180}{901} cos (2 t)

Graph

Beliebte Beispiele

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