# Math Help - theoretical question on cyclic function

1. ## theoretical question on cyclic function

a(x) is continues on R with cycle T ,a(x+T)=a(x)
u(x) is non trivial soluion of y'=a(x)y
$\lambda=\int_{0}^{T}a(x)dx$

which of the following claims is correct:

A. if $\lambda>0$ then $\lim_{x\rightarrow\infty}u(x)=\infty$
B. if $\lambda=0$ then u(x) is a cyclic function

i dont have the theorectical basis to solve it