3) Consider the differential equation (x + sin y) dx + (x cos y – 2y) (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.
3) Consider the differential equation (x + sin y) dx + (x cos y – 2y) (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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(3) Consider the differential equation
(x + sin y) dr + (x cos y – 2y)
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.
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