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Q.1 a) 1ferify that the solution of the IVP (1 + 3:2);1 + 4x1; + 211 = t}, mm = 1, gym) = U. about

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Q.1 a) 1ferify that the solution of the IVP (1 + 3:2);1\" + 4x1; + 211 = t}, mm = 1, gym) = U. about In = U is given via as = :rme. 111:\" using the differentiation rule for power series and substituting the expression in the IVP. b) Using the geometric series show that the solution of the IVP r = {3(3) determined in a) near 330 = U is _ 1 1 + 332' I; = eta?) What is the radius of convergence of the power series solution about 3:0 = U? 1

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