Answer all three parts it is part of one question. a)Find all singular points of the equation x^2(1-x^2)y''+2/x y'+4y =0 and determine whether each one is regular or irregular. b)Find two power series solutions of the differential equation y''+(cos x)y=0 c)If y=ϕ(x) is a solution of the given initial value problem y''+x^2 y' +(sin x) y =0, y(0)=a0, y'(0)=a1 determine ϕ''(0), ϕ'''(0), and ϕ^(4) (0)

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