In Mathematica 5.0, if one types in:
we get 0.
However, if we type dx(f[x]) + dx(g[x]), we get
f'[x] + g'[x].
Mathematica doesn't recognize that f'[x]+g'[x]=
(f[x]+g[x])', which equals 0. How does one get Mathematica to do this?
I'm interested in situations where f'[x] and g'[x] occur within a larger equation.
Are there any resources on utilizing Mathematica to manipulate Partial Differential Relations?