Unformatted text preview: ( x ) = sin( x ) x . 5b) If you multiply by 1 x , you ﬁnd ( x-1 y ) = x-1 sin( x ). 5c) y ( x ) = x (Si( x ) + c ) 6a) This is separable, and you ﬁnd y = 1 4 (2-x ) 2 as long as y > 0. 6b) The solution hits 0 when x = 2, so your formula becomes doubtful then (since you probably divided by y to ﬁnd it). Look at the slope ﬁeld or the DE itself to see that the formula in part a) is incorrect beyond x = 2, and that y = 0 is the correct way to continue the solution into that region. 7...
View Full Document
This note was uploaded on 01/21/2011 for the course MATH 2930 taught by Professor Terrell,r during the Spring '07 term at Cornell.
- Spring '07