a) Clearly explain how you obtain the Modified Euler's method. i.e. h Yn+1 = Yn + hf(tn + h 2. Yn +f(tn, Yn)) Given y' = t2 - y, y(0) = 1, find correct to four decimal places the value of y(0.1) and y(0.2) by using Modified Euler's method. b) Solve y' = -2t – y in the interval 0 < t < 0.6 by Modified Euler's method taking h = 0.2 given that y(0) = -1 Solve y' = log(t+y) in the time interval 0

a) Clearly explain how you obtain the Modified Euler's method. i.e. h Yn+1 = Yn + hf(tn + h 2. Yn +f(tn, Yn)) Given y' = t2 - y, y(0) = 1, find correct to four decimal places the value of y(0.1) and y(0.2) by using Modified Euler's method. b) Solve y' = -2t – y in the interval 0 < t < 0.6 by Modified Euler's method taking h = 0.2 given that y(0) = -1 Solve y' = log(t+y) in the time interval 0

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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