CSIR UGC NET June 2019 Unit III Question 41

Question

Let $y(x)$ be the solution of $$x^{2} y^{\prime \prime}(x)-2 y(x)=0,\quad   y(1)=1, y(2)=1$$

Then the value of $y(3)$ is

1. $\frac{11}{21}$

2. 1

3. $\frac{17}{21}$

4. $\frac{11}{7}$