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 S₁ R(z)dz μ(z) = e. Find an integrating factor and solve the given equation. dy (18x + 7) + (6x² + 18) dx = 0 y dx μ(xy) = 6x³y + 7x² 2 + 6y³ = C ху μ(xy) = xy, 6x²y + +6y² = C μ(xy) = xy, 6x³y + + 6y³ = C 1 μ(xy) = 6x²y + + 6y² = c xy' 1 μ(xy) 6x³y + +6y³ = xy = 7x3 2 7x² 2 7x² 2 7x3 2 C
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 S₁ R(z)dz μ(z) = e. Find an integrating factor and solve the given equation. dy (18x + 7) + (6x² + 18) dx = 0 y dx μ(xy) = 6x³y + 7x² 2 + 6y³ = C ху μ(xy) = xy, 6x²y + +6y² = C μ(xy) = xy, 6x³y + + 6y³ = C 1 μ(xy) = 6x²y + + 6y² = c xy' 1 μ(xy) 6x³y + +6y³ = xy = 7x3 2 7x² 2 7x² 2 7x3 2 C
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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