y^{'''}-5y^{''}+3y^'+y=0

Lösung

y^{^{'''}} - 5 y^{^{''}} + 3 y^{^{'}} + y = 0

y = c_{1} e^{t} + c_{2} e^{(2 + 5) t} + c_{3} e^{(2 - 5) t}

Schritte zur Lösung

y^{'''} (t) - 5 y^{''} (t) + 3 y^{'} (t) + y = 0

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{(2 + 5) t} + c_{3} e^{(2 - 5) t}

y = c_{1} e^{t} + c_{2} e^{(2 + 5) t} + c_{3} e^{(2 - 5) t}