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
Shoaling and schooling
I think so
Hahahahaha so i was that a hahahahaha amp u owy owas was my time amp what i is a great amp thank you:)
By the people for the people
Answer:
D. A semicolon can be used where you might use a period.
Explanation:
A semicolon can be used where you might used a period if the two sentences are related to each other. Also semicolons are used before words such namely, however, therefore. Semicolons are used to join two independent clauses that are similar/closely related to each other especially those joined by a words which are connectors like and, but, or, nor, e.t.c. If a sentence contain many commas, it is suitable to add a semicolon.
