Solve (sin(x) cos(y)) dx + (cos(x) sin(y))dy = 0 if possible. If the equation is not exact, say so. O sin(x) sin(y) = c - cos(x) sin(y) = C O Equation is not exact. O - cos(x) cos(y) = c

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Solve (sin(x) cos(y))dx + (cos(x) sin(y))dy = 0 if possible. If the
equation is not exact, say so.
sin(x) sin(y) = c
○ - cos(x) sin(y) = C
O Equation is not exact.
- cos(x) cos(y) = c
Transcribed Image Text:Solve (sin(x) cos(y))dx + (cos(x) sin(y))dy = 0 if possible. If the equation is not exact, say so. sin(x) sin(y) = c ○ - cos(x) sin(y) = C O Equation is not exact. - cos(x) cos(y) = c
Expert Solution
Step 1

First we check given differential equation is exact or not. 

If given differential equation is exact then we find solution of given differential equation.

If it is not exact then we find integrating factor and solve it or just say given differential equation is not Exact.

steps

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