Question: Suppose that we solved the ODE [1 3:]ng + [1 I}in[1}:: + {1 1} 111(1 +I]y = D with a series method and found a

Suppose that we solved the ODE [1 3:]ng + [1 I}in[1}::

Suppose that we solved the ODE [1 3:]ng + [1 I}in[1}:: + {1 1} 111(1 +I]y = D with a series method and found a solution of the form sir} = 2 Hum\" =[| {a} Show that :tn = {I is an ordinary point of this ODE. {h} Can you guarantee that the solution eonvergw at a: = 43.5? What about m = 2'? [Explain whyfwhy not in a sentence or two.)

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