Need help for Question 1a, 1b and 1c pls! Ansver all the questions. (Total 100 m

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Need help for Question 1a, 1b and 1c pls!

Ansver all the questions. (Total 100 marks) Question 1 Consider the differential equation dx It is intended to find a value of y(2) using a numerical method. Suggest a suitable step size for which the Euler-trapezoidal method is absolutcly stable in the required range. (a) (6 marks) What is the largest suitable step size for which the classical fourth-order Runge- Kutta method is absolutely stable in the required range? (b) (4 marks) (c) How many function evaluations are needed in each method if the maximum permitted step size for stability is chosen in each case to obtain a value of y(2), (2 marks)

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