y^{''''}=y

Lösung

y^{^{''''}} = y

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

Schritte zur Lösung

y^{(4)} (t) = y

Solve linear ODE:

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

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

y = y^{^{''}}

y^{^{''}} + 6 y^{^{'}} + 3 y = 0

y^{^{''}} - y^{^{'}} - 2 y = 0, y (0) = - 5, y^{^{'}} (0) = 8

y^{^{''}} + 10 y^{^{'}} - y = 0

y^{^{''}} - 8 y^{^{'}} + 17 y = 0, y (0) = - 4, y^{^{'}} (0) = - 1