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:
So, good communication in an impersonal communication is yes common sense.
Explanation:
Rationally for this is bc it can allow us to work more efficiently in our communities. This is my reasoning on why it's common sense.
The capital on 31 January 2020 was approx $ 50000 as the owner has not make any drawing this year. Hence option B is correct
<h3>
What is capital?</h3>
Capital is defined as the total amount of financial resources needed to manufacture goods or services. These cash may be employed to start up operations, cover ongoing costs, or develop and extend the company.
As given profit made this year = $ 10000
So the capital on 31 January 2020 = approx $ 50000
Thus, the capital on 31 January 2020 was approx $ 50000 as the owner has not make any drawing this year. Hence option B is correct
To learn more about capital, refer to the link below:
brainly.com/question/29052534
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The purpose of sending troops to Vietnam was to prevent Vietnam from becoming a communist state- much like the neighbouring China did. The US feared the domino effect in which more and more neighbouring states become communist.
This policy was called the containment policy (the answer is B) - communism were to be contained.