Question: 2. Consider the differential equation 2(2+x)xy + xy + 3xy: = = 0. a) (3 Marks) Find all singular points of the differential equation

2. Consider the differential equation [ 2left(2+x^{2}ight) x y^{prime prime}+x y^{prime}+3 x^{2} y=0 . ] a) (3 Marks) 

2. Consider the differential equation 2(2+x)xy" + xy + 3xy: = = 0. a) (3 Marks) Find all singular points of the differential equation in the complex plane. b) (2 Marks) Find a lower bound for the radius of convergence for a series solution of the form yan(x - 1)". n=0

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