Jam 2022 mathematics-ma q.22 let h: rr be the function given by h(x) = e+e*) for x e r. let f: rr be defined by ) = hx sin 0)do for xer. then which one of the f

JAM 2022 MATHEMATICS-MA Q.22 Let H: RR be the function given by H(x) = e+e*) for x e R. Let f: RR be defined by ) = Hx sin 0)do for xER. Then which one of the following is true? (A) xf"x)+ f) + xf) = 0 for all x E R (B) xf"x)-fx)+ xfx) = 0 for all x E R (C) xf"x)+f'(x) - xf(x) =0 for all x ER (D) xf"x)- f'(x) - zf(x) =0 for all x ER