Question: NUMERICAL METHODS The function y(x) satisfies the following initial value problem. y ' (t) = 2(1-ty) 1 2 + 1 y(0) =1 a) Estimate six

NUMERICAL METHODS

The function y(x) satisfies the following initial value problem. y ' (t) = 2(1-ty) 1 2 + 1 y(0) =1 a) Estimate six approximations to y(0.3) by using the following Euler Method: Vi = Vi th f (t; _,Vi-) b) Estimate six approximations to y(0.3) by using the following Modified Euler Method: h 2 Vi = Vint-(N, + N2), where N, = f(t;_1, );_) and N2 = f (t,, y;_ + hN,)

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