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:
The Charge: Paul urges Timothy to remain in Ephesus in order that he might charge ... the code of the Law which is not a lawful use of the Law for the righteous 1:3-11 ... (3) Fix Your Hope: Because godliness holds the promise of life Paul affirms that He and those like him in ... 2:14; 3:6-7; 5:5-6, 24-25)?.
Explanation:
hope this helps
Answer:
Atlantic slave trade
Explanation:
the Atlantic slave trade brought millions of Africans to work for new developing countries, the others while they brought many people, those people weren't African
Answer:
In the search for a better understanding of genetic and environmental interactions as determinants of health, certain fundamental aspects of human identity pose both a challenge and an opportunity for clarification. Sex/gender and race/ethnicity are complex traits that are particularly useful and important because each includes the social dimensions necessary for understanding its impact on health and each has genetic underpinnings, to varying degrees.
