Question 3 How do we determine if a differential equation M(x, y)da + N(x, y)dy = 0 is an exact differential equation? A differential equation is exact if: әM aN Әx ду әM ƏN ду Әх әм ду = 0 and әм дх - = = 0 and - ON ду Submit Question ƏN Әх = 0 = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 3
How do we determine if a differential equation M(x, y)da + N(x, y)dy = 0 is an exact differential
equation?
A differential equation is exact if:
әM
aN
Әx
ду
= 0 and
әM ƏN
ду
Әх
әM
ду
-
=
= 0 and
әм ƏN
дх
ду
-
Submit Question
ƏN
Әх
= 0
= 0
Transcribed Image Text:Question 3 How do we determine if a differential equation M(x, y)da + N(x, y)dy = 0 is an exact differential equation? A differential equation is exact if: әM aN Әx ду = 0 and әM ƏN ду Әх әM ду - = = 0 and әм ƏN дх ду - Submit Question ƏN Әх = 0 = 0
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