Consider the initial-value problem y'= 2x - 3y + 1, y(1) = 6. The analytic solution is = + =x + 47 e-3(x-1). 1 2. 9 3 9 (a) Find a formula involving c and h for the local truncation error in the nth step if Euler's method i y(x) 47 h²e-3(c-1) 2 (b) Find a bound for the local truncation error in each step if h = 0.1 is used to approximate y(1.5 0 225

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