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
The Theory of Moral Development is a theory that would make people understand that morality is starting from early childhood years that can be influenced by different factors. There are 3 stages on this theory namely the pre conventional, conventional and post conventional. In the situation Donny is in the 2. Conventional stage as it is the good boy or girl stage for school age and effort is done for approval and maintaining friendly relationship to the other people.
Answer:
The answer is C)The Government
Answer: it conquered tartar states along Volga river and acquired acces to Caspar sea
Explanation:
Answer:
Indian culture enriched the Islamic civilization. The key Indian influences after the conquest of Sind were the following ones:
1) Indian achievements and progress in science, medicine, astronomy, and arts, including music, were passed to the Arabs.
2) What are currently known as "Arabic numbers" have roots in the acceptance of Indian numerals.
3) Arabs adopted Indian customs and traditions while, at the same time, they spread Islam.
4) Islamic governments adopted some Indian political traditions.