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:
Ecumene is a term used by geographers to mean inhabited land. It generally refers to land where people have made their permanent home, and to all work areas that are considered occupied and used for agricultural or any other economic purpose.
Explanation:
The ecumene (US) or oecumene (UK; Greek: οἰκουμένη, oikouménē, lit. "inhabited") was an ancient Greek term for the known, the inhabited, or the habitable world. Under the Roman Empire, it came to refer to civilization as well as the secular and religious imperial administration. In present usage, it is most often used in the context of "ecumenical" and describes the Christian Church as a unified whole, or the unified modern world civilization. It is also used in cartography to describe a type of world map (mappa mundi) used in late Antiquity and the Middle Ages.
Answer:
λpeak= x10^ m = nm = microns.
Explanation:
If frequency or some other variable is used on the horizontal axis, the peak will be at a different wavelength. If the temperature is = C = K, then on the traditional wavelength plot the wavelength at which the radiation curve peaks is: λpeak= x10^ m = nm = microns.
It entails being out of touch with reality, where your optimism isn't grounded in comparison to the situation you're in.
For example, imagine climbing Mount Everest and you underestimate the weather, which are underestimating obstacles and risks.
