Hey guys. I'm working on the IVP

, ,

andgiventhe implicit solution .

(This is from Fritz John's Partial Differential Equations, 4th Ed, exercise 1.6.1b p18.)

It's easy to show that this is indeed a solution, but now I am expected (I think) to put it into explicit terms, i.e. in the form . (This is the reason this is in the analysis section.)

Any help would be much appreciated. Thanks!