Q.22 let h: rr be the function given by h(x) = ;(e +e"*) for x e r. let f: r r be defined by fx) = | h(x sin 8)de for x e r. ogy then which one of the following

Q.22 Let H: RR be the function given by H(x) = ;(e +e"*) for x E R. Let f: R R be defined by fx) = | H(x sin 8)de for x E R. ogy Then which one of the following is true? (A) xf"(x) +f(x) +xfx) = 0 for allx € R. (B) xf" (x) - f'(x) + xf(x) = 0 for allx E R (C)xf"(x) + f'(x) - xf(x) = 0 for all x E R (D) xf"(x)- f'(a) - xf(x) = 0 for all xeR tute olc