(3) Consider the differential equation (x + sin y) dx + (x cos y – 2y) dy = 0 : COS (a) Determine whether the above equation is exact. (b) If the equation is not exact, find an integrating factor. If the equation is exact, skip this step and go on to (c). (c) Solve the equation using the method of exact solutions, using the integrating factor from (b) if necessary.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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differential eqaution, hw, please show ALL PARTS, clearly and work, thank you!

(3) Consider the differential equation
(x + sin y) dx + (x cos y – 2y) dy = 0
(a) Determine whether the above equation is exact.
(b) If the equation is not exact, find an integrating factor. If the equation is exact, skip
this step and go on to (c).
(c) Solve the equation using the method of exact solutions, using the integrating factor
from (b) if necessary.
Transcribed Image Text:(3) Consider the differential equation (x + sin y) dx + (x cos y – 2y) dy = 0 (a) Determine whether the above equation is exact. (b) If the equation is not exact, find an integrating factor. If the equation is exact, skip this step and go on to (c). (c) Solve the equation using the method of exact solutions, using the integrating factor from (b) if necessary.
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