I need correct anawer both wrong

Consider the following differential equation

$4y^{\text{'}\text{'}}-x{y}^{\text{'}}-y=0,x_0=1$

$($a$)$ Seek a power series solution for the given differential equation about the given point $x_0$; find the recurrence relation that the coefficients must satisfy.

$a_{n+2}=\frac{a_{n+1}+a_n}{4(n+2)}$

$($b$)$ Find the first four nonzero terms in each of two solutions $y_1$ and $y_2.$ NOTE: For $y_1,$ set $a_0=1$ and $a_1=0$ in the power series to find the first four non$-$zero terms. For $y_2,$ set $a_0=0$ and $a_1=1$ in the power series to find the first four non$-$zero terms.

$y_1(x)=\frac{1}{4}(x-1)+\frac{1}{64}(x-1{)}^2+\frac{25}{2304}(x-1{)}^3$

$y_2(x)=1+\frac{1}{4}(x-1{)}^2-\frac{9}{64}(x-1{)}^2+\frac{11}{768}(x-1{)}^3$