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4. (a) Prove that M(x, y) + N(x, y) = 0 can be made exact using an integrating factor that == f(x+y) for some M-N = 0. depends only on the sum x + y if and only if the expression function f. (b) Use the integrating factor found in part (a) to solve 3+y+xy+(3+x+xy)

4. (a) Prove that M(x, y) + N(x, y) = 0 can be made exact using an integrating factor that == f(x+y) for some M-N = 0. depends only on the sum x + y if and only if the expression function f. (b) Use the integrating factor found in part (a) to solve 3+y+xy+(3+x+xy)

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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4. (a) Prove that M(x, y) + N(x, y) = 0 can be made exact using an integrating factor that N₂-My = f(x + y) for some M-N = 0. depends only on the sum x + y if and only if the expression function f. (b) Use the integrating factor found in part (a) to solve 3+y+xy+(3+x+xy)
Transcribed Image Text:4. (a) Prove that M(x, y) + N(x, y) = 0 can be made exact using an integrating factor that N₂-My = f(x + y) for some M-N = 0. depends only on the sum x + y if and only if the expression function f. (b) Use the integrating factor found in part (a) to solve 3+y+xy+(3+x+xy)
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