. For the following two initial value problems, we cannot guarantee that a power series solution centered at x =0 exists since x =0 is not a regular point. However, in some cases, we may still be able to find one anyway, even if we cant guarantee it will work beforehand. (i) xy00+ y =0, y(0)=1, y0(0)=0(ii) x 2 y 002xy0+2y =0, y(0)=0, y0(0)=2 For one of the above equations, we can still find a solution using power series centered at x =0, and for the other we cannot. Which is which?