I would appreciate anyone helping me with using Mathematica to solve the following (geometrically, numerically, etc)
I need to find an example of a function y=f(t) such that f'(0)=1 but t is not a function of y in any neighborhood of 0. I just arbitrarily picked f'(0)=1 you could pick something with value of 1. But the trick is that t is not a function of y in this neighborhood. Any suggestions?