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Beliebt Rechnen >

y^{''}+5y^'+25*y=-9.81

Lösung

y^{^{''}} + 5 y^{^{'}} + 25 \cdot y = - 9.81

Lösung

y = e^{- \frac{5 t}{2}} (c_{1} cos (\frac{5 3 t}{2}) + c_{2} sin (\frac{5 3 t}{2})) - 0.3924

Schritte zur Lösung

y^{''} (t) + 5 y^{'} (t) + 25 \cdot y = - 9.81

Solve linear ODE:

y = e^{- \frac{5 t}{2}} (c_{1} cos (\frac{5 3 t}{2}) + c_{2} sin (\frac{5 3 t}{2})) - 0.3924

y = e^{- \frac{5 t}{2}} (c_{1} cos (\frac{5 3 t}{2}) + c_{2} sin (\frac{5 3 t}{2})) - 0.3924

Graph

Beliebte Beispiele

y^{''}-3y^'-4y=8e^tcos(2t)

y^{^{''}} - 3 y^{^{'}} - 4 y = 8 e^{t} cos (2 t)

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