Question

What is the annihilator for 7e *x-sin 4x

Answer 1

Note: (i) The differential Openale amnihilatis a valon (D-a)" function of the form n-1 42 (ii) The loftevential ie (D-d)". an Lax=0 Operators ator [D22004473] ammislilates function of the form a K-1 ear 'Cos (8X) on nax 2 e *den (BM) iê [0-ddD+(**p)]?? Cek (648x) =0 -20D + 6%{p}]]" xeandidpa) nt la

we 10% 5 of -لو erx 10 е 16 10% 5 ex ie te . x Aced to annobelate Felons Siolex) • Corsiden elox the form 16-410X xe Plano n=6 and x= 10 The differ ential operator annihilate and als lineare combinations annihilate Olow consider 39.6) This is g foam whole a Sober) Xi e dinlex) here n=1 d=0 and 8 = 4 = The defferential operatoration that annihilate sin 4x) e grun by [D2–200+*1*(622xod+017) wsing (0-10) the form Or Sin (4x) >

= (0²+16) There fore the product of operaton (D-10) 6716) will ammăbilate fac 6 10X linear combination 7e x 5 -S86X) 0-10)*6+16). (zelo pomesan Cox)) = 0
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