Most of the equations of Mathematical Physics are in terms of not only partials but non-linear ones to boot. I mean really, we do easy ones in school to just learn how to work them but in real-life, the equations include more variables (hence partials), since as you know "everything is connected to everything out there", and if our mathematical models are to have any chance of genuinely reflecting the real world out there, then they usually need to be non-linear since of course it's a non-linear world out there as well. However, non-linear ones are really tough to work with so just so that we can get a handle on things, we often "linearize" them just to cope.chandran said:can anybody tell with equation,the practical applications of partial
differential equation and ordinary differential equation. If it is in
mechanical engineering statics etc will be helpful