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2. (16pts) For each of the following schemes: . State whether it is an explicit or implict method. . State whether it is a one-step
2. (16pts) For each of the following schemes: . State whether it is an explicit or implict method. . State whether it is a one-step or multistep method. . If it is a m-step method, determine m. (a) Euler's method. (b) Taylor's method of order 3. (c) RK4 method. (d) Un+1 = Un + f(tn+ 1, Un+1). (e) Un = Un-1+ f (tm-1, Un-1). (f) Un+1 = Un + Af(tn+1, Un+1) - Alf(t-1, Un-1). (g) Un+1 = 2yn - Un-1+ (tn+1 - Un + 1/2). (h) Un+1 = Un-1+ A-g(tn, Un) - Alf(t-1, Un-2)
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