Re: system of partial DE's

The notation is etc...

Your solution idea is confusing as stated, what do you mean by take the derivative of the first one? Derivative with respect to what? You mean take ?

Re: system of partial DE's

Actually I tried it and it does noting, lol, it just takes you back to where you started but it would be interesting if someone knew what to do with this.

Re: system of partial DE's

In , y can be treated as a constant: think of it as and **separate**: where, remember y is a constant. Integrate both sides to get . (Since "y is a constant", the constant of integration may be function of y, f(y).)

We can solve that for u as where . Since f(y) is an arbitrary function of y, so is F(y).

With that we can write which, since F cannot depend on x, requires that F(y)= 1 (so that F'(y)= 0).

Re: system of partial DE's

That simplifies things, I was not treating y as a constant.