## ¿unsolved problems in differential equations?

Hi, I would like to talk with you about the modern lines of investigation about differential equations ( ode,pde...) , which are the most interesting unsolved questions, ecuations to solve, general tools for solving differential equations ....

I know we have learned a lot, but still there is a lot of work to do .

 PhysOrg.com science news on PhysOrg.com >> Hong Kong launches first electric taxis>> Morocco to harness the wind in energy hunt>> Galaxy's Ring of Fire
 Recognitions: Gold Member Homework Help I know a professor who when asked after a colloquium talk to state one of the most important unsolved problems in differential equations stepped to the chalkboard and wrote: $$y' = f(x,y)$$ and sat down.
 Yes most equations can't be solved analyticly...

## ¿unsolved problems in differential equations?

 Quote by LCKurtz I know a professor who when asked after a colloquium talk to state one of the most important unsolved problems in differential equations stepped to the chalkboard and wrote: $$y' = f(x,y)$$ and sat down.
He should be more precise, I think that you could demonstrate the exixtence and uniqueness of a solution using Picard's method.

Perhaps he was asking for a general method to find the solution?

 Here's one with a prize ... http://www.claymath.org/millennium/N...kes_Equations/