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Homework 4, due September 23, 2015

Posted: Fri Sep 18, 2015 2:19 pm
by goodwine
Reading: Chapter 3 of the course text.

Here it is.

Re: Homework 4, due September 23, 2015

Posted: Mon Sep 21, 2015 5:50 pm
by jmcgill1
On the last question for 4a, are you looking for an interval in terms of alpha and beta or should we talk about general requirements of the interval(s)?

Re: Homework 4, due September 23, 2015

Posted: Mon Sep 21, 2015 9:01 pm
by goodwine
jmcgill1 wrote:On the last question for 4a, are you looking for an interval in terms of alpha and beta or should we talk about general requirements of the interval(s)?
It would be the intervals for time, t, for which the two solutions are linearly independent.

Re: Homework 4, due September 23, 2015

Posted: Tue Sep 22, 2015 12:34 pm
by matthewpolicelli
Do you want proofs for #1, or just a simple yes/no statement (and why)?

Re: Homework 4, due September 23, 2015

Posted: Tue Sep 22, 2015 3:53 pm
by goodwine
matthewpolicelli wrote:Do you want proofs for #1, or just a simple yes/no statement (and why)?
Substitute x = c1 x1 + c2 x2 to see if it satisfies it.

Re: Homework 4, due September 23, 2015

Posted: Tue Sep 22, 2015 3:54 pm
by goodwine
Question on #1: When it says "for which is x(t) also a solution", does that mean for all constants c1 and c2?
Yes, c1 and c2 can be arbitrary.