Solve the differential equation below using series methods. $$ y^{\prime} +5 x y^{\prime} +2 y=0, quad y(0)=2, \quad y^{\prime}(0)=4 $$ The first few terms of the series solution are: $$ y=a_{0}+a_{1} x+a_{2} x^{2}+a_{3} x^{3}+a_{4} x^{4} $$ CS. JG.094