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For DE M(x,y) dx + N(x,y) dy = 0 to be EXACT:
AAlways M = N
BLinear
C∂M/∂y = ∂N/∂x (exactness condition)
DM + N = 0
Answer & Solution
Correct answer: C. ∂M/∂y = ∂N/∂x (exactness condition)
Exact DE: ∂M/∂y = ∂N/∂x. Then ∃ F(x,y) with dF = M dx + N dy, solution F(x,y) = C. If not exact, find integrating factor.
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