Just solve problems 4 and 6: In Problems 1 through 12, verify by substitution that eachgiven function is a solution of the given differential equation.Throughout these problems, primes denote derivatives with re-spect tox.y'=3x2;y=x3+7y'+2y=0;y=3e-2xy''+4y=0;y1=cos2x,y2=sin2xy''=9y;y1=e3x,y2=e-3xy'=y+2e-x;y=ex-e-xy''+4y'+4y=0;y1=e-2x,y2=xe-2xy''-2y'+2y=0;y1=excosx,y2=exsinxy''+y=3cos2x,y1=cosx-cos2x,y2=sinx-cos2xy'+2xy2=0;y=11+x2x2y''+xy'-y=lnx;y1=x-lnx,y2=1x-lnxx2y''+5xy'+4y=0;y1=1x2,y2=lnxx2x2y''-xy'+2y=0;y1=xcos(lnx),y2=xsin(lnx)