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:
The subjects of a conquered kingdom are not used to living in freedom or standing up for themselves, and are therefore slower to take up arms than are the citizens of a republic. There are three options for the conquering prince: destroy the republic, live there, or set up a puppet government. At the end of the day, Machiavelli seems to favor the first option.
Answer:
False.
Explanation:
Writing down your grades after each test gives you an accurate and recent set of data to consistently look at and monitor. Whether you progress or degrees, you are still monitoring the data.
By keeping them in a healthy mental setting but not being over protective give corporal punishment as necessary
Answer:
Lab technician
Explanation:
Chemical used is the main independent variable. Cell growth was the dependent variable or response variable. The cell type and dose are both being tested within the experiment leaving lab technician.
