Question: - 8) (GC Allowed) Let y = g(x) be the particular solution to the differential equation dy condition g(2) = 1. (3 pts. each)

- 8) (GC Allowed) Let y = g(x) be the particular solution to the differential equation dy condition g(2) = 1. (3 pts. each) a) Find the equation of the line tangent to g(x) at x = 2 and use it to approximate g(4). Sydy=2xda b) 4 = x 43 = 2x 4 = 325 43=2x = 2x = with the initial 2 py'=1(2002. 2 = 1 (2x) y= (282) = (2x)/3 1/3 Use Euler's method to approximate g(4) using 4 steps of equal size and the initial condition g(2) = 1. 4 332X

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