verification of solution of differential equation

verification of solution of differential equation

Verify that y= (c1*(x^-1)) + (c2*(x^5)) is a solution of (x^2 * y'') -
(3*x*y) - 5*y =0 on any interval [a,b] that does not contain an origin.If
x is not equal to 0 and if y1 and y2 are arbitrary show directly that c1
and c2 can be chosen in one and only one way ao that value of y at x is
equal to y1 and value of first differential of y at x is equal to c2. I
tried putting the value of y into equation but answer is not coming equal
to 0.I am not able to verification of first part itself.It is not coming
equal to 0.Please help.