Question: (a) Solve the initial value problem i = '100Y, Y(0) = l. and determine y(1). y(t) Y(l) = (b) Show that if you use Euler's

(a) Solve the initial value problem i = '100Y, Y(0) = l. and determine y(1). y(t) Y(l) = (b) Show that if you use Euler's method with step size h to estimate y(1), the resulting estimate is (1 100ml\". (You may assume 1 /h is an integer.) Choose File No file chosen This answer has not been graded yet. (c) Using the result in (b), what is the Euler estimate for y(l) if h = 0.001? If h = 0.0001? y(t) = Y(l) Compute the relative percent error in the second case. 0 approximately 0.1% O approximately 4% 0 approximately 10% O approximately 40% (d) Compute lim (1 100ml\". I140

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