PROBLEM 4. Consider the initial value problem at = 0.521,\

PROBLEM 4. Consider the initial value problem ut = 0.5uxc, e (00, +00), t > 0, (1) Compute u if 27r (2) Suppose that 0 10 and f +_: f (rx)drx = 1. Show that, for all t > 0, 0 u@, t) 10 and f +_oo u@, t)drx = 1.