Mathematics — Real Analysis · picard-theorem-application
Problem
Consider the equation y′=y1/3x.
(a)) Show that for the initial condition y(1)=1, Picard's theorem applies. Find an α>0, M, L, and h that would work in the proof.
(b)) Show that for the initial condition y(1)=0, Picard's theorem does not apply.
(c)) Find a solution for y(1)=0 anyway.