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Beliebt Rechnen >

3y^{''}+2(9.81)^2y=49(9.81)cos(8t)

Lösung

3 y^{^{''}} + 2 (9.81)^{2} y = 49 (9.81) cos (8 t)

Lösung

y = c_{1} cos (\frac{327 3 t}{25 \cdot 2 ^{\frac{3}{2}}}) + c_{2} sin (\frac{327 3 t}{25 \cdot 2 ^{\frac{3}{2}}}) + 1017.97966 \dots cos (8 t)

Schritte zur Lösung

3 y^{''} (t) + 2 (9.81)^{2} y = 49 (9.81) cos (8 t)

Solve linear ODE:

y = c_{1} cos (\frac{327 3 t}{25 \cdot 2 ^{\frac{3}{2}}}) + c_{2} sin (\frac{327 3 t}{25 \cdot 2 ^{\frac{3}{2}}}) + 1017.97966 \dots cos (8 t)

y = c_{1} cos (\frac{327 3 t}{25 \cdot 2 ^{\frac{3}{2}}}) + c_{2} sin (\frac{327 3 t}{25 \cdot 2 ^{\frac{3}{2}}}) + 1017.97966 \dots cos (8 t)

Graph

Beliebte Beispiele

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