Each of these ODEs is linear and homogeneous with constant coefficients, so we only need to find the roots to their respective characteristic equations.
(a) The characteristic equation for

is

which arises from the ansatz
.
The characteristic roots are
and
. Then the general solution is

where
are arbitrary constants.
(b) The characteristic equation here is

with a root at
of multiplicity 2. Then the general solution is

(c) The characteristic equation is

with roots at
, where
. Then the general solution is

Recall Euler's identity,

Then we can rewrite the solution as

or even more simply as

Answer:
an context, Ignatius’ observations contrasting his own clothing with that of the people around him (paragraph 1) most clearly serve to emphasize…-In reading this question, I was confused on the thoughts of Ignatius and thought that overtime beliefs about clothing changed, when really his opinions never changed, and really his values were just unconventional. I have to know that in the first paragraph, the narrator is describing Ignatius’ clothing choices and what his beliefs are.
Explanation:
Answer:
A.
Explanation:
The key word is simultaneously when it comes to parallel computing. Although the option <em>could </em>potentially be C, it's more likely to be A because it's "more right" in the words of my old English teacher. This is because A implies them working on it at the same time to reach the goal more effectively (another key word).
I would say A (: have a nice day !
Answer:
to be or not to be?to be or not to be?to be or not to be?to be or not to be?to be or not to be?to be or not to be?to be or not to be?
Explanation: