y^{'''}-5y^{''}+5y^'+11y=0

Lösung

y^{^{'''}} - 5 y^{^{''}} + 5 y^{^{'}} + 11 y = 0

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

Schritte zur Lösung

y^{'''} (t) - 5 y^{''} (t) + 5 y^{'} (t) + 11 y = 0

Solve linear ODE:

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

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

36 y^{^{''}} + 108 y^{^{'}} + 97 y = 0, y^{^{'}} (1) = 3, y (1) = 4

x^{^{''}} - x^{^{'}} - 6 x = 0, x (0) = 2, x^{^{'}} (0) = - 1

y^{^{'''}} + 3 y^{^{''}} - 6 y^{^{'}} - 8 y = 0

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} - 15 y = 0

y^{^{''}} = 10 y