Question: (a)(5 points) Find all singular points in the complex plane for the linear differential equation(2+x2)xy''+2xy'+x2y=0(b)(5 points)If one attempts to solve the initial value problem (2+x2)y''+2y'+xy=0,y(1)=0,y'(1)=1,byan
(a)(5 points) Find all singular points in the complex plane for the linear differential equation(2+x2)xy''+2xy'+x2y=0(b)(5 points)If one attempts to solve the initial value problem (2+x2)y''+2y'+xy=0,y(1)=0,y'(1)=1,byan expansion of the form y(x)=n=0an(x-1)n, use the result ofpart (a)to find a lower bound for the radius of convergence of the solution.
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