Question

is there any shortcut in verifying if a differential equation is exact??

Answer 1

wolframalpha.com!! ;)

Answer 2

^wth

Answer 3

a differential equation of the the form \[M\text dx+N \text dy =0\]is exact if \[\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}\]
if it is not exact and integrating factor might make it exact
\[\frac{\partial RM}{\partial y}=\frac{\partial RN}{\partial x}\]
\(R\) could be \(R(x),R(y)\) or \(R(x,y)\)

Answer 4

i meant able to tell if exact just by looking...is it possible?

Answer 5

if you can take partial derivatives in your head it is not that hard, unless you need an integrating factor