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3. Find the function M(x, y) such that M(x, 0) = e¯ª and the differential equation M(x,y) dx + (sin x cos y - xy - e)dy = 0 is exact. sin x sin y + y² +e=² cos x sin y + y² + e²¯ X cos x sin y - y² + e cos x sin y - y² + e-ª O sin x sin y - y² + e-¯

3. Find the function M(x, y) such that M(x, 0) = e¯ª and the differential equation M(x,y) dx + (sin x cos y - xy - e)dy = 0 is exact. sin x sin y + y² +e=² cos x sin y + y² + e²¯ X cos x sin y - y² + e cos x sin y - y² + e-ª O sin x sin y - y² + e-¯

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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3. Find the function M(x, y) such that M(x, 0) = e¯ª and the differential equation M(x,y) dx + (sin x cos y - xy - e¯³)dy = 0 is exact. sin x sin y + y² +e=² cos x sin y + y² + e²¯ X cos x sin y - y² + e cos x sin y - y² + e¯ª O sin x sin y - y² + e-¯
Transcribed Image Text:3. Find the function M(x, y) such that M(x, 0) = e¯ª and the differential equation M(x,y) dx + (sin x cos y - xy - e¯³)dy = 0 is exact. sin x sin y + y² +e=² cos x sin y + y² + e²¯ X cos x sin y - y² + e cos x sin y - y² + e¯ª O sin x sin y - y² + e-¯
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