Question: Consider the differential equationx 2 y 9 xy + 2 4 y = 0 ; x 4 , x 6 , ( 0 , )

Consider the differential equationx

2

9

+ 24

= 0

; x

4,

6, (0,) .

Verify that the given functions form a fundamental set of solutions of the differential equation on the indicated interval.The functions satisfy the differential equation and are linearly independent since W

(

4,

6) = 0

for

0 <

< .

Form the general solution.y

=

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