y^{''''}-2y^{'''}-6y^{''}=0

Lösung

y^{^{''''}} - 2 y^{^{'''}} - 6 y^{^{''}} = 0

y = c_{1} e^{(1 + 7) t} + c_{2} e^{(1 - 7) t} + c_{3} + c_{4} t

Schritte zur Lösung

y^{(4)} (t) - 2 y^{'''} (t) - 6 y^{''} (t) = 0

Solve linear ODE:

y = c_{1} e^{(1 + 7) t} + c_{2} e^{(1 - 7) t} + c_{3} + c_{4} t

y = c_{1} e^{(1 + 7) t} + c_{2} e^{(1 - 7) t} + c_{3} + c_{4} t

y^{^{''}} - y^{^{'}} - 12 y = 0, y (0) = 5, y^{^{'}} (0) = - 1

x^{^{''}} + 5 x^{^{''}} + 6 x = 0

y^{^{''''}} - 2 y^{^{'''}} - 7 y^{^{''}} = 0

y^{^{''}} + 2 y^{^{'}} + y = 0, y (0) = 5, y (0) = - 3

y^{^{''}} + 2 y^{^{'}} - 3 y = 0, y (0) = 3, y^{^{'}} (0) = 2