77y^{''''}+204y^{''}+64y=0

Lösung

77 y^{^{''''}} + 204 y^{^{''}} + 64 y = 0

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

Schritte zur Lösung

77 y^{(4)} (t) + 204 y^{''} (t) + 64 y = 0

Solve linear ODE:

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

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

3 y^{^{''}} - 9 y^{^{'}} + 6 y = 0

\frac{d ^{2} y}{d x ^{2}} + 10 (\frac{d y}{d x}) + 25 y = 0

x^{^{''}} + 8 x^{^{'}} + 80 x = 0

y^{^{''}} + 4 y^{^{'}} + 4 y = 0, y (- 1) = 5, y^{^{'}} (- 1) = 4

r^{^{''}} - 4 r^{^{'}} - 53 r = 0