Mathematics, 30.12.2019 23:31 maraa013001
Which of the following functions are solutions of the differential equation y'' + y = 3 sin x? (select all that apply)
a. y=3sinx
b. y=3xsinx-5xcosx
c. y=-3/2xcosx
d. y=3cosx
e. y=3/2xsinx
Answers: 3
. Differentiate again to get 
, then 
so this choice of y doesn't solve the equation.
and 
, then 
so y is not a solution
hence 
. Then 
so y is a solution. 
and 
, then 
thus y isn't a solution
hence 
. Then 
then y is not a solution. 
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Which of the following functions are solutions of the differential equation y'' + y = 3 sin x? (sel...
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