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:
Plants have rigid tubes made of cellulose.
Explanation:
Plants have rigid tubes made of cellulose that provides structure and form.
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This question is not complete because it lacks the photograph showing the architectural or technological feature of the rural landscape
Find attached to this answer the photograph showing the architectural or technological feature of the rural landscape
Answer:
Windmill
Explanation:
The Windmill is a technological structure that was created to function using the power or speed of the wind.
The speed generated by the wind was used by the windmill for various purposes.
Those purposes includes:
a. Generation of electric power also known as electricity.
b. Pumping of water.
c. Milling of grains.
d. Generation of other sources of energy
A wind mill is made of fan or blade like structures that are called VANES. This vanes utilises the speed of the wind which cause them to rotate continuously at a very high speed and allows them to generate the energy required to mill grains, pump water or generate electricity.
Answer: prosecution and judiciary with regard to criminal matter,
Justice is a core value of humanity found in all cultures .
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Explanation: