Question: Consider the initial value problem: y = 4y with initial condition y (0) = 1. a. [5 pts] Using the Euler method with a stepsize

 Consider the initial value problem: y = 4y with initial condition

Consider the initial value problem: y = 4y with initial condition y (0) = 1. a. [5 pts] Using the Euler method with a stepsize of h = 0.2, write down the numerical approximation of y at t = 0.6. Write your answer as a number, for instance as 1.3, not as y = 1.3. Do not round off your decimal answer. 5.832 b. [2 pts] What is the global truncation error of your approximation? Use an exact expression for your answer (i.e., not using truncated decimal expansions). e^(2.4)-5.832 Hint: The expression should involve an exponential term. c. [2 pts] Does your approximation have any round-off error? Yes O No

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