# Math Help - Heuristic method

1. ## Heuristic method

Hi, I need a lot of help here.

$F(a,b,u,u_a,u_b)=0$ with initial condition $u(a,0)$. Solving for $u_b$, find a heuristic derivation of the solution by using taylor series.

Then use that to find the solution of $cu_a+du_b=0$ with $u(a,0)=a^3$

Thank You for any help.

2. ## Re: Heuristic method

Hi, what do we know about $F$?

3. ## Re: Heuristic method

Originally Posted by girdav
Hi, what do we know about $F$?
F is the most general first-order PDE in two varaibles.

Can you provide any help or working out. I don't know how to do it.

Thank You