Respuesta :

y''-y'-30y=0;
1) the characteristic equation is:
a²-a-30=0, where a²⇒y'', a⇒y' and 1⇒y.
[tex] \left[\begin{array}{ccc}a=6 \\a=-5\end{array}[/tex]
2) y=C₁*e⁶ˣ+C₂*e⁻⁵ˣ