y^{'''}-15y^{''}+66y^'-80y=0

Lösung

y^{^{'''}} - 15 y^{^{''}} + 66 y^{^{'}} - 80 y = 0

y = c_{1} e^{2 t} + c_{2} e^{5 t} + c_{3} e^{8 t}

Schritte zur Lösung

y^{'''} (t) - 15 y^{''} (t) + 66 y^{'} (t) - 80 y = 0

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{5 t} + c_{3} e^{8 t}

y = c_{1} e^{2 t} + c_{2} e^{5 t} + c_{3} e^{8 t}

y^{^{''}} + k^{2} y^{^{'}} = 0

(d^{2} + 1)^{2} y = 0

y^{^{''}} - 2 y^{^{'}} + y = 0, y (0) = 3 x^{4}

y^{^{'''}} - 7 y^{^{''}} + 6 y = 0

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