Homework 4, due September 23, 2015

[goodwine]

Reading: Chapter 3 of the course text.

Here it is.

[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)?

[goodwine]

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.

[matthewpolicelli]

Do you want proofs for #1, or just a simple yes/no statement (and why)?

[goodwine]

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.

[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.