ZillDiffEQModAp$126\mathrm{.}1\mathrm{.}037.EP.$ Consider the following differential equation $tobe$ solved using a power series $asin$ Example $4.y=xy$ Using the substitution $y=cnxnn=0,$ find $an$ expression for the following coefficients. $(Give$ your answers $in$ terms $ofc0.)c2=c02c0c3=0c0c4=c08c0c5=0c0c6=c048c0$ Find the solution. $(Give$ your answer $in$ terms $ofc0.)y(x)=c0n=0c0e(x22)$

Consider the following differential equation $tobe$ solved using a power series $asin$ Example $4.$

$y^{\text{'}}=xy$

Using the substitution $y={\displaystyle \underset{n=0}{\overset{}{}}}{c}_n{x}^n{c}_0.c_0.y(x)=c_0{\displaystyle \underset{n=0}{\overset{}{}}}(,)$