77y^{''''}+303y^{''}+100y=0

Lösung

77 y^{^{''''}} + 303 y^{^{''}} + 100 y = 0

y = c_{1} cos (\frac{2 t}{11}) + c_{2} sin (\frac{2 t}{11}) + c_{3} cos (\frac{5 t}{7}) + c_{4} sin (\frac{5 t}{7})

Schritte zur Lösung

77 y^{(4)} (t) + 303 y^{''} (t) + 100 y = 0

Solve linear ODE:

y = c_{1} cos (\frac{2 t}{11}) + c_{2} sin (\frac{2 t}{11}) + c_{3} cos (\frac{5 t}{7}) + c_{4} sin (\frac{5 t}{7})

y = c_{1} cos (\frac{2 t}{11}) + c_{2} sin (\frac{2 t}{11}) + c_{3} cos (\frac{5 t}{7}) + c_{4} sin (\frac{5 t}{7})

x^{^{''}} + 25 x = 0, x (0) = 0.6, x^{^{'}} (0) = 1

- a \cdot y^{^{''}} + y^{^{'}} = 0, y (0) = 1, y (1) = 0

16 y^{^{''}} + 9 y^{^{'}} = 0

y^{^{''}} + 4 y^{^{'}} + 5 y = 0, y (0) = 0, y^{^{'}} (0) = 0

49 y^{^{''}} + 42 y^{^{'}} + 9 y = 0, y (0) = 7, y^{^{'}} (0) = 1