Re: All the best to all the JNU SSS aspirants...!!!!

Posted by CHANGEZ on May 17, 2014; 5:16pm
URL: http://discussion-forum.276.s1.nabble.com/All-the-best-to-all-the-JNU-SSS-aspirants-tp7589911p7590028.html

bound qn's i solved it like this: (discussion and criticism would be appreciated)
dx/dt=x^2-x; give t was time and shall always be positive.. lets integrate it w.r.t. t
x=(x^2-x)t

Q1: initial value negative; lessay @ t=1s x=-ve and less than -1, then x^2-x will be positive and t is positive therefore increase w/o bound w/ increase in t. +ve X +ve
Q2: initial value positive but (0,1); x^2-x will be negative; w/ increase in t value in negative will increase. therefore decrease w/o bound
Q3: similiarly