If xy = A sin x + B cos x is the soluti...

If `xy = A sin x + B cos x ` is the solution of the differential equation `x (d^2 y)/( dx^2) - 5a (dy)/( dx) + xy = 0`, then the value of `a` is

A

`2/5`

B

`5/2`

C

`(-2)/(5)`

D

`(-5)/(2)`

Verified by Experts

The correct Answer is:

C

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