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
It would take 15 trips. 90 divided by 6 is 15. Take that 15 and divide 225 which leaves you with 15
Under the terms of the compromise, each state's congressional delegation would be split between representatives, who would be elected by district and serve in the House of Representatives, and senators, who would represent their state in the upper house of Congress. This system struck a balance between the demands of the large states for proportional representation in the Legislative Branch, while addressing the concerns of the less-populous states that their interests would be ignored or overridden by the much larger delegations of big states.
The practical effect created a two-tiered system in which the needs of the people could be addressed in the lower house of Congress, and the competing interests of the states could be handled in an upper house where each state enjoys an equal voice. This split between direct and indirect representation would later influence the formation of the Electoral College and the election of presidents.
Answer:
Got My Points Deducted By A Loser Name PoeticAesthetics
Explanation:
