Hello: I have abstracted out an issue I am having using dsolve in the context of sqrt functions.
Basic Problem: I am attempting to solve a a simple ODE with a piecewise continuous RHS. The RHS has a sqrt function. This simple problem in the form we have gives an error. We make a couple of other attempts to simplify this manually - in its most simplified form it seems to not given any error message. However, even then, the piecewise continuous RHS is not captured properly in the numerical solution. Can somebody help explain/solve the problem? Thanks.
(NOTE: PLEASE IGNORE THE FIRST LINE OF THE MAPLE WORKSHEET - I DO NOT SEE IT IN THE MAPLE FILE, BUT IT APPEARS ON THE LINKED SHEET SOMEHOW!)