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Nx - My = R, where R is a function depending only on the quantity z = xy, then the differential equation xM - yN M + Ny = 0 has an integrating factor of the form R(z)dz μ(z) = ek Find an integrating factor and solve the given equation. (21x + ²) + (2x² +²¹) = 0 21y dy X dx μ(xy) = 1/2 7x²y + + 3x² + 7y² = = C xy 2 3x² μ(xy) = xy, 7x³y + + 7y³ = c 3x² μ(xy) (x) = 7x³y + ³² + 7y² = c C xy 2 3x3 µ(xy) = xy, 7x²y + ³x² + 7y² = c 3x³ μ(xy) = 7x³y + + -7y³ = C 2 ху

Nx - My = R, where R is a function depending only on the quantity z = xy, then the differential equation xM - yN M + Ny = 0 has an integrating factor of the form R(z)dz μ(z) = ek Find an integrating factor and solve the given equation. (21x + ²) + (2x² +²¹) = 0 21y dy X dx μ(xy) = 1/2 7x²y + + 3x² + 7y² = = C xy 2 3x² μ(xy) = xy, 7x³y + + 7y³ = c 3x² μ(xy) (x) = 7x³y + ³² + 7y² = c C xy 2 3x3 µ(xy) = xy, 7x²y + ³x² + 7y² = c 3x³ μ(xy) = 7x³y + + -7y³ = C 2 ху

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 15RE
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Nx - My xM - yN has an integrating factor of the form Find an integrating factor and solve the given equation. H(xy) = — 7x²y + 7x²y + ³x² + 7y² = € 3x² μ(xy) = xy, 7x³y + +7y³. = C 2 3x² µ(xy) 7x³y + == + 7y³ = = C xy 2 3x³ μ(xy) = = xy, 7x²y + + 7y² = c C 2 M(x)=x²y+3+²+7y² = c C ху 2 If = R, where R is a function depending only on the quantity z = xy, then the differential equation M + Ny = 0 - ef RG₂ 21 (7x²,²17) 2 - 0 = dx + μ(z) (21-1²) + 3) + R(z)dz
Transcribed Image Text:Nx - My xM - yN has an integrating factor of the form Find an integrating factor and solve the given equation. H(xy) = — 7x²y + 7x²y + ³x² + 7y² = € 3x² μ(xy) = xy, 7x³y + +7y³. = C 2 3x² µ(xy) 7x³y + == + 7y³ = = C xy 2 3x³ μ(xy) = = xy, 7x²y + + 7y² = c C 2 M(x)=x²y+3+²+7y² = c C ху 2 If = R, where R is a function depending only on the quantity z = xy, then the differential equation M + Ny = 0 - ef RG₂ 21 (7x²,²17) 2 - 0 = dx + μ(z) (21-1²) + 3) + R(z)dz
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