Consider the DE y ′′′
−2y ′′
−8y ′
=0 A) Verify that y 1
=7,y 2
=e −2x
and y 3
=e 4x
are solutions of the given DE. B) Show that y 1
,y 2
and y 3
form a fundamental set of solutions of the DE on (−[infinity],[infinity]). Write the general solution.
