2302-practice-mid4

2302-practice-mid4 - a. 2 xy -y = 0. b. x 2 y -2 xy + y =...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
MAP 2302, Fall 2011 — Midterm 4 Review Problems 1 The exam will cover sections 8.3, 8.4, and 8.5. All topics from this review sheet or from the suggested exercises are fair game. 1 Find the frst ±our terms in a power series expansion at x = 0 ±or a general solution to the given di²erential equation. a. y + ( x + 2) y = 1. b. y - sin( x ) y = 0. c. e 2 x y - y = e x . d. y ′′ + 4 y = 0. e. y ′′ - xy + x 4 y = sin x . 2 Find the general solution ±or the ±ollowing di²erential equations.
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: a. 2 xy -y = 0. b. x 2 y -2 xy + y = 0. c. x 2 y + y = 0. 3 Find all singular points o the ollowing dierential equations and classiy them as regular or irregular. a. ( x 2-1) y + xy + 2 y = 0. b. x 3 ( x 2 + 1) y + xy -y = 0. c. ( x 2-2) y + 2 y -sin( x ) y = 0....
View Full Document

Ask a homework question - tutors are online