I have done parts a, b, c but need help on d and e

A x y = 0 , q 10) - 9 (2 0 ( Question 2 , Part ( a ) BVP IS : x y' - y ' + 1 x 3 9 =0 y ( 0 ) = you ) - o alven that x y !1 - y / 4 1 x 3 4 - 0 Divide by x, we get : X 1 y 'l + - 4 y l + 1 x y = 0 sonice comparing It to SL form ( p ( x ) y ) + ( - q l x ) ) + * r ( x > > y = o So values are as follows : P ( x ) = 1 9 ( x ) = 0 | 1 ( x ) = x and so it is in the 5 2 form Question 2 , Part ( b ) Or the gonality condition In which the eigenfunctions of a particular satisfies is. a q h ( x ) Q m ( x ) r ( x ) d x = O , for Im # An O for our problem it will be . 1 O $ n ( x ) 9 m ( x ) ( x ) d x = 0 / 1* mQuestion Q, Part ( c ) y ( x ) = sun ( 2 x x * ) -thu is put into the gen - valve problem then : x ( sun ( 2 7 X 2 ) )" - ( sun ( 2 71 x 0 ) ) ' + 1 x 3 ( sun ( 2 1 x 0 ) ) = 0 After solving , we get - sch ( 2