Question

Find the general solution of the given second-order differential equation. y'' − y' − 30y = 0 webassign

Answer 1

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