Hi again. Here's one.
(a) Without solving, explain why the intitial value problem
has no solution for .
(b) Solve the initial value problem in part (a) for and find the largest interval on which the solution is defined.
(a) Because the only way to arrive at a radical through differentiation is to begin with one, and any expression involving a radical (even root) with nothing outside of the radical must always give a positive result over the reals.
(b) I get
If I set , I get .
But, I won't evfen attempt to find the interval of definition because the book doesn't include the plus or minus. They have .
What's the deal here?