We saw the following result in lecture. Suppose that A E Rnn is nonsingular and suppose that r an...
Question 2 Consider the differential equation We saw in class that one solution is the Bessel function (a) Suppose we have a solution to this ODE in the form y-Σχ0CnXntr where cn 0. By considering the first term of this series show that r must satisfy r2-4-0 (and hence that r = 2 or r =-2) (b) Show that any solution of the form y-ca:0G,2n-2 must satisfy C0 (c) From the theory about singular solutions we know that a linearly...
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Question2 Consider the differential equation We saw in class that one solution is the Bessel function (-1)" ( 2n+2 2+n)! 2) n=0 (a) Suppose we have a solution to this ODE in the form y = Σ。:0cmFn+r where 0. By considering the first term of this series show that r must satisfy r2-4=0(and hence that r = 2 or r=-2). (b) Show that any solution of the form y-must satisfy co c) From the theory about...