Nx - My If = 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 Find an integrating factor and solve the given equation. O O O µ(xy) μ(xy) = xy, 1 xy µ(xy) = 1 xy μ(xy) = xy, 1 μ(xy) = xy 3x³ 2x³y + +2y³: = C 2 3x³ 2 3x² 2x²y + 2x²y + 2x³y + 2 3x² 2x³y + 2 3x² 2 + 2y² = = C + 2y² = c + 2y³ = c + 2y³ = c µ(z) = J R(z)dz (6x + ³) + (²x² + x) dx = 0 dy y y dx

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