MATH201 Lecture 6: 6. 2nd Order Equations.pdf
18 Jun 2015
School
Department
Course
Professor
Document Summary
Jan. 20, 2012: many examples here are taken from the textbook. The rst number in () refers to the problem number in the ua custom edition, the second number in () refers to the problem number in the 8th edition. Equation: review of chapter 2 dy dx. If yes, write it in form m dx + n dy = 0, integrate r m (x, y) dx and set. F (x, y) = r m dx + g(y) with g(y) to be determined. Next use f arbitrary function g(y). (or alternatively integrate r n (x, y) dy and use m to determine the arbitrary function h(x)). If yes, use v = y/x as a new unkonwn. If yes, use z = a x + b y as a new unknown. If yes, divide the equation by yn and use y1 n as a new unknown.
