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

Lösung

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

y = c_{1} e^{k t} + c_{2} e^{- k t} + c_{3} cos (k t) + c_{4} sin (k t)

Schritte zur Lösung

y^{(4)} (t) - k^{2} y = 0

Solve linear ODE:

y = c_{1} e^{k t} + c_{2} e^{- k t} + c_{3} cos (k t) + c_{4} sin (k t)

y = c_{1} e^{k t} + c_{2} e^{- k t} + c_{3} cos (k t) + c_{4} sin (k t)

y^{^{''}} + 5 y^{^{'}} - 24 y = 0, y (0) = a, y^{^{'}} (0) = 80

44 y^{^{'''}} + 15 y^{^{''}} + y^{^{'}} = 0

16 x^{^{''}} + 8 x^{^{'}} + 145 x = 0, x (0) = - 2, x^{^{'}} (0) = 1

y^{^{''}} + 14 y^{^{'}} + 50 y = 0, y (0) = 1, y^{^{'}} (0) = 0

y^{^{''}} + 10 y^{^{'}} + 25 y = 0, y (0) = 5, y^{^{'}} (0) = 0