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We got for x > 0 given a differential equation y’ = 1-y/x, with start value...

We got for x > 0 given a differential equation y’ = 1-y/x, with start value y(2)= 2

  1. Find the Taylor polynomial of first and second degree for y(x) at x =2.
  2. Show that y(x) =x/2 +2/x solves the given equation.

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