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10. (a) Show that the differential equation (4x + 3y?) dx + 2xy dy = 0 is not exact. (b) Find an integrating factor of the form ", where n is a positivc integer. (c) Multiply thc DE through by the integrat- ing factor found in part (b) and solve the resulting exact cquation.

10. (a) Show that the differential equation (4x + 3y?) dx + 2xy dy = 0 is not exact. (b) Find an integrating factor of the form ", where n is a positivc integer. (c) Multiply thc DE through by the integrat- ing factor found in part (b) and solve the resulting exact cquation.

Advanced Engineering Mathematics
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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10. (a) Show that the differential equation (4x + 3y2) dr + 2xy dy = 0 is not exact. (b) Find an integrating factor of the form ", where n is a positive integer. (c) Multiply the DE through by the integrat- ing factor found in part (b) and solve the resulting exact cquation.
Transcribed Image Text:10. (a) Show that the differential equation (4x + 3y2) dr + 2xy dy = 0 is not exact. (b) Find an integrating factor of the form ", where n is a positive integer. (c) Multiply the DE through by the integrat- ing factor found in part (b) and solve the resulting exact cquation.
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