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Differential Equations Quiz
#6 April
8, 2005
Name____________________ R. Hammack Score
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(1) Find the
general solution of the differential equation 4y''12y'+9y=0.
The auxiliary equation is 412m+9==0.
Therefore, there is only one (repeated) root, y = 3/2.
Solution to D.E. is y = +x
(2) Find a differential
operator that annihilates the function. y=cos(x/2).
+
(3) Find three linearly
independent functions that are annihilated by the differential operator 10+25D

10
+ 25D =
The functions are: