55y^{''''}+119y^{''}+36y=0

Lösung

55 y^{^{''''}} + 119 y^{^{''}} + 36 y = 0

y = c_{1} cos (\frac{2 t}{11}) + c_{2} sin (\frac{2 t}{11}) + c_{3} cos (\frac{3 t}{5}) + c_{4} sin (\frac{3 t}{5})

Schritte zur Lösung

55 y^{(4)} (t) + 119 y^{''} (t) + 36 y = 0

Solve linear ODE:

y = c_{1} cos (\frac{2 t}{11}) + c_{2} sin (\frac{2 t}{11}) + c_{3} cos (\frac{3 t}{5}) + c_{4} sin (\frac{3 t}{5})

y = c_{1} cos (\frac{2 t}{11}) + c_{2} sin (\frac{2 t}{11}) + c_{3} cos (\frac{3 t}{5}) + c_{4} sin (\frac{3 t}{5})

y^{^{''}} - 36 y = 0, y (0) = 1, y^{^{'}} (0) = 0

4 y^{^{''}} + 51 y^{^{'}} + 36 y = 0, y (0) = - 5, y^{^{'}} (0) = - 20

y^{^{''}} + 9 y = 0, y (0) = - 1, y^{^{'}} (0) = 3

4 y^{^{''}} - 4 y^{^{'}} + 17 y = 0

4 y^{^{''}} - 2 y^{^{'}} + 9 y = 0