I am having trouble with the following problem:
Given the PDE: ,
where f is a differentiable function,
and the IVP: , h another function.
(a) Show that u satisfies the implicit equation: .
(b) Show that the solution becomes singular at some positive time t, unless ) is a non-decreasing function of s.
I can derive the solution in (a), but (b) has me totally perplexed. Thanks in advance!