Question

Find the general solution to the Second O.D.E
x''-5x=0

Answer 1

\[r^2-5 =0\] Auxiliary Equation

Answer 2

\[r=\frac{ + }{ - }\sqrt{5}\]

Answer 3

\[r_{1}=\sqrt{5} \]
\[r_2=-\sqrt5\]

Answer 4

\[x(t)=c_1 e ^{\sqrt5 t}+c_2 e^{-\sqrt5 t}\]