77y^{''''}+123y^{''}+16y=0

Lösung

77 y^{^{''''}} + 123 y^{^{''}} + 16 y = 0

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

Schritte zur Lösung

77 y^{(4)} (t) + 123 y^{''} (t) + 16 y = 0

Solve linear ODE:

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

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

1.6 x^{^{''}} + 40 x = 0, x (0) = - \frac{1}{3}, x^{^{'}} (0) = \frac{5}{4}

y^{^{''}} - 2 a y^{^{'}} + (a^{2} - e^{2}) y = 0

y^{^{''}} - y^{^{'}} - 6 y = 0, y (0) = 2 y^{^{'}} (0) - 1

2 y^{^{''}} - 2 y^{^{'}} - 15 y = 0

4 y^{^{''}} - 784 y = 0, y (0) = 0