Consider the equation (  E_3 ) y''' - p(x)y = 0. Prove that if y is a solution of (  E_3 ) satisfying y(a) = y'(a)=0 and y''(a)> 0, then y(x)>0, y'(x)>0, y''>0 on (a, inifinty) if p(x) is a postive continous function. Can a solution of (  E_3 ) have a 2-1 distribution?


Can someone break this down for me so I can know what to do??