55y^{''''}+136y^{''}+25y=0

Lösung

55 y^{^{''''}} + 136 y^{^{''}} + 25 y = 0

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

Schritte zur Lösung

55 y^{(4)} (t) + 136 y^{''} (t) + 25 y = 0

Solve linear ODE:

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

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

16 y^{^{''''}} = 81 y

f^{^{''}} (x) + f (x) = 0

x^{^{''}} + 14 x^{^{'}} + 49 x = 0

y^{^{''}} + 4 y = 0, y^{^{'}} (π) = 0, y (0) = 0

x^{^{''}} - x^{^{'}} - 2 x = 0