y^{''''}+5y^{''}-36y=0

Lösung

y^{^{''''}} + 5 y^{^{''}} - 36 y = 0

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

Schritte zur Lösung

y^{(4)} (t) + 5 y^{''} (t) - 36 y = 0

Solve linear ODE:

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

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

y^{^{''}} + 16 y = 0, y (\frac{π}{8}) = - 2, y^{^{'}} (\frac{π}{8}) = 16

y^{^{'''}} + 2 y^{^{''}} - 15 y^{^{'}} - 36 y = 0

y^{^{''}} + 8 y^{^{'}} + 6 y = 0, y (- 1) = 6, y^{^{'}} (- 1) = 5

2 y^{^{''}} + 4 y^{^{'}} + 20 y = 0

y^{^{''}} - 4 y^{^{'}} - 96 y = 0, y (0) = 13, y^{^{'}} (0) = 36