ENGR 213 Lecture Notes - Lecture 1: Differential Equation, Partial Fraction Decomposition

• School: Concordia University
• Department: Engineering
• Course: ENGR 213
• Professor: Georgios Vatistas

Document Summary

A function f (x, y) is homogeneous of degree m if and only if f s x, s y = s m f x, y for every s > 0 and all x, y 0, 0. = s 4 x 4 + 3 y x 3 + 2 y 2 x 2 - y 3. P x, y dx + q x, y dy = 0 is reducible to variable separable, if p and q are homogeneous of the same degree. Then y x = x v x dy x = x dv x + v x dx. P x, y dx + q x, y x dv x + v x dx = 0. Since p and q are homogeneous of the same degree (say m) P x, y = x m p v and q x, y = x m q v or and.