.6..7 Show that the differential equation x³y² + x(1+yº)y' = 0 is not exact, but becomes exact when multiplied by the integrating factor 1 μ(x, y) Then solve the equation. = xy7 = The given equation is not exact, because My which is different from N = After multiplication with u(x, y), the equation is exact, because then My Nx= = The general solution of the differential equation is given implicitly by = C₂ for any constant c, where y > 0.
.6..7 Show that the differential equation x³y² + x(1+yº)y' = 0 is not exact, but becomes exact when multiplied by the integrating factor 1 μ(x, y) Then solve the equation. = xy7 = The given equation is not exact, because My which is different from N = After multiplication with u(x, y), the equation is exact, because then My Nx= = The general solution of the differential equation is given implicitly by = C₂ for any constant c, where y > 0.
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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