solve the differential equation (D^2+a^2 )y=cos ax
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Here the A.E. is m^2+a^2=0
need an explanation for this answer? contact us directly to get an explanation for this answeri.e. m=±ia
so
Y_(C.F.)=c_1 cosax+c_2 sinax
Y_(P.I.)=1/(D^2+a^2 ) cosax=x/2a sinax (Remark)
Then,
Y_(G.S.)=c_1 cosax+c_2 sinax+x/2a sinax