Hi

So, I have come across three methods of solving first order differential equations, namely: separation of variables, homogeneous equation solving, and exact equation solving method. In math one method might have wider sphere of application than the other. Which method of the three is 'more' generally applicable than the others? Suppose, the method we use to solve to exact differential equation could also be used to solve separable differential equation, then we might say 'exact equation solving method' is superior and more general than the others. Do you get my what I'm trying to say? Please help me with it. Thank you.

Regards
PG

 

This is not a useful question. Each method has its applications, and the best at any time is the one that works on your equation of the moment.