Question

the complementary function of (D^2-16) y=0 is​

Answer 1

Step-by-step explanation:

hope this answer may help you get the point

Answer 2

Answer: 4

$(D^{2}-16 )y=0$

Now consider the symbolic form

$D^{2} -16=0$

$D^{2} =16$

$D=$ +4

   $=+4or-4$

$y_{c} =C_{1} e^{4x} +C_{2} e^{-4x}$

∴ it is an complementary function.