- #1
flatmaster
- 501
- 2
When solving an ODE, physicsts sometimes multiply the differential dx.
Example
df/dx = x/2
df = (x/2)dx
f = x^2 + c
I've always been told that this mathematically unsound, but I've never been told why. Is it because the necessary constant c may not necessarily be additive? Are there any specific counter-examples where this doesn't work?
Example
df/dx = x/2
df = (x/2)dx
f = x^2 + c
I've always been told that this mathematically unsound, but I've never been told why. Is it because the necessary constant c may not necessarily be additive? Are there any specific counter-examples where this doesn't work?