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 N--My М--N 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) = 0.
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 N--My М--N 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) = 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 32E
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I get how to solve it as an exact equation, but I'm not seeing how to get to the supplied expression
Transcribed Image Text:4. (a) Prove that M(x, y) + N(x, y)
0 can be made exact using an integrating factor that
Na-My
М--N
depends only on the sum x +y if and only if the expression
function f.
= f(x+y) for some
(b) Use the integrating factor found in part (a) to solve 3+ y + xy+ (3 + x + xy) = 0.
dx
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