Miscellaneous Exercises 57
Show that this relation is a differential equation and solve it. (Call the
constantp^2 .) Prove that exactly one of the following three possibilities
holds:
(i)u(t)=0 for one value oftandu′(t)is never 0;
(ii)u′(t)=0 for one value oftandu(t)is never 0;(iii) neitheru(t)noru′(t)is ever 0.