Exactness condition for M dx + N dy = 0 (If partial derivatives match, there exists F(x,y) with dF = M dx + N dy)
jee-mainjee-advanced
If partial derivatives match, there exists F(x,y) with dF = M dx + N dy; solution is F(x,y) = C.
What each symbol means
| Symbol | What it stands for |
|---|---|
| M | Coefficient of dx. |
| N | Coefficient of dy. |
When to use this
M, N continuously differentiable on a simply connected domain (standard JEE assumptions).