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

When it's just sitting alone, high in the night sky, the moon just looks"regular" sized. It's the Ebbinghaus effect
Answer:
Create a user manual for the vacuum cleaner.
Develop marketing content for the vacuum cleaner.
Write a product description of the vacuum cleaner.
Explanation:
I just took the test. 100% correct.