This preview shows page 1. Sign up to view the full content.
Unformatted text preview: Then, solve the equations which are separable, linear, or exact. a. dy dx =-2 xy x 2 + y 2 . b. dy dx = xy sin x . c. dy dx = sin( x + y 2 ). d. dy dx = x-y 2 x . e. dy dx = 5 x 4 cos y + e y . 4 ²or each of the following initial value problems, determine if they have zero, one, or more than one solution(s). You do not need to solve these equations. a. y dy dx + x = 0; y (1) = 0. b. dy dx = 3 y 2 / 3 ; y (0) = 0. c. y dy dx = arctan( x + y ); y (1) = 1. 5 Make an appropriate substitution in order to solve the following di±erential equations. a. dy dx = 2 y x-x 2 y 2 . b. x 2 dy dx = xy-y 2 . c. dy dx = 1 (2 x + y ) e 2 x + y-2....
View Full Document
This note was uploaded on 12/10/2011 for the course MAP 2302 taught by Professor Tuncer during the Fall '08 term at University of Florida.
- Fall '08