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,
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Then we can rewrite the solution as

or even more simply as

The correct answer for the question that is being presented above is this one: "C) Depression is related to neurotransmitter deregulation, genetics, and cognitive processes." Among the four statements that is presented, the correct statement is that <span>Depression is related to neurotransmitter deregulation, genetics, and cognitive processes.</span>
Answer:
In geography, when measured in a standard unit of length, this is referred to as absolute distance. ... Relative distance is a measure of the social, cultural and economic relatedness or connectivity between two places - how connected or disconnected they are - despite their absolute distance from each other.
I dont understand taht to be honest but if i did i wouldve answered them for you
Answer:
How did Mandarin become the official language? All of the official spoken languages were once dialects. Mandarin was one of the 10 major dialects in China and it officially became the national language for China in 1911 after Dr. Sun Yat Sen overthrew the Qing Dynasty.