y^{''''}-6y^{'''}+17y^{''}-28y^'+20y=0

Lösung

y^{^{''''}} - 6 y^{^{'''}} + 17 y^{^{''}} - 28 y^{^{'}} + 20 y = 0

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

Schritte zur Lösung

y^{(4)} (t) - 6 y^{'''} (t) + 17 y^{''} (t) - 28 y^{'} (t) + 20 y = 0

Solve linear ODE:

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

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

y^{^{''}} + 9 y = 0, y (0) = 6, y^{^{'}} (0) = - 4

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

15 y^{^{''''}} + 53 y^{^{''}} + 16 y = 0

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

y^{^{'''}} - 15 y^{^{''}} + 62 y^{^{'}} - 72 y = 0