Question: Q5) Given: dy dy +2 dt + y = e- dt and y(0) = 1 and y'(0) = 2. a) Find the value of y(0.75)

Q5) Given: dy dy +2 dt + y = e- dt and y(0) = 1 and y'(0) = 2. a) Find the value of y(0.75) using Euler's method with a step size of 0.75. 17 marks] b) Find the true relative error in the answer of part a if the actual value is 1.668. [1 mark] c) Find the value of dy at t = 0.75. [1 marks] dt d) Can the Euler's method be considered a part of the Runge-Kutta methods? Explain your answer. [1 mark]

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