Akash Kumar Bundela posted an Question
January 17, 2022 • 20:59 pm 30 points
  • IIT JAM
  • Mathematics (MA)

L[y=x2 d'y let l[yl= x + px+qy, where p.q 9. dx are real constants. let y(x) and y, (x) be two solutions of ly=0, x >0 that satisfy () =1, v(x) )=0, a(x%) =0 an

L[y=x2 d'y Let L[yl= x + px+qy, where p.q 9. dx are real constants. Let y(X) and y, (x) be two solutions of Ly=0, x >0 that satisfy () =1, v(x) )=0, a(X%) =0 and y xo)=1 for some x > 0. Then, (a) (* is not a constant multiple of U2 (x) (b) y (x) is a constant multiple of y2 (x) (c) 1, Inx are solutions of L[y|=0 when p 1, q = 0 (d) x, ln x are solutions of L[y = 0 when p+q# 0

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