In this problem you will solve the initial value problem13x2y''-59xy'+35y=0,y(1)=2,y'(1)=-2(1) The largest intervals that may be considered for the domain of the solution to13x2y''-59xy'+35y=0 are either For -type-inf and for type inf.(2) Let C1 and C2be arbitrary constants. The general solution to the homogeneous differentialequation 13x2y''-59xy'+35y=0is the function y(x)=C1y1(x)+C2y2(x)=C1+C:(3) The unique solution to the initial value problem13x2y''-59xy'+35y=0,y(1)=2,y'(1)=-2is the function y(x)=for xin