33y^{''''}+188y^{''}+64y=0

Lösung

33 y^{^{''''}} + 188 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}{3}) + c_{4} sin (\frac{4 t}{3})

Schritte zur Lösung

33 y^{(4)} (t) + 188 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}{3}) + c_{4} sin (\frac{4 t}{3})

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

\frac{d ^{2} y}{d x ^{2}} + 3 \frac{d y}{d x} + y = 0

y^{^{''}} - 6 y^{^{'}} + 34 y = 0, y (0) = 5, y^{^{'}} (0) = - 5

y^{^{''}} - 10 y^{^{'}} + 50 y = 0, y (0) = - 4, y^{^{'}} (0) = - 5

9 y^{^{''}} - 12 y^{^{'}} + 4 y = 0, y (0) = e^{(\frac{2 x}{3})}

y^{^{''}} + 2 y^{^{'}} + (1 + \frac{9}{4} π^{2}) y = 0