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
Population growth I think don’t be mad
WILL BRAINLIEST! psychology...
a description of the three topics, concepts, or theories you learned about in the module that you consider most important; choose topics, concepts or theories from at least three lessons in the module
an explanation of how what you have learned about these three topics, concepts, or theories can be applied in your own life or in the lives of others close to you
at least one paragraph for each topic, concept, or theory, for a total of at least three paragraphs; use this organizer to help you format your work
Answer:
1 hr on problems and 3 reading
Explanation:
1 hr on problems bc he's able to finish 40 problems which is better than reading for 1 hr since the teacher said reading for 1 hr is equivalent to solving 35 problems. in the 2nd, 3rd and 4th hours he solves less than 35 problems each hour so it's better to just read for an hour.
Answer:
Denis Diderot lifework, the Encyclopedia, was a powerful weapon against ecclesiastical and governmental institutions. It revealed the truth; it contained “maxims that would tend to destroy royal authority… and lay the foundations for the corruption of morals and religion”
Explanation:
