(D^3-6D^2+11D-6)y=0

Lösung

(D^{3} - 6 D^{2} + 11 D - 6) y = 0

y = c_{1} e^{x} + c_{2} e^{2 x} + c_{3} e^{3 x}

Schritte zur Lösung

(D^{3} - 6 D^{2} + 11 D - 6) y = 0

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{2 x} + c_{3} e^{3 x}

y = c_{1} e^{x} + c_{2} e^{2 x} + c_{3} e^{3 x}

20 y^{^{''}} + 240 y^{^{'}} + 800 y = 0

a y^{^{''}} + b y^{^{'}} - cy = 0

y^{^{''}} - 4 y^{^{'}} + 5 y = 0, y (\frac{π}{2}) = 3, y (0) = 5

y^{^{''}} + 1 y = 0, y (\frac{π}{2}) = 2, y^{^{'}} (\frac{π}{2}) = 3

y^{^{''}} - 7 y^{^{'}} + 12 y = 0, y (0) = 1, y^{^{'}} (0) = \frac{5}{2}