Question: (a) Program a calculator or computer to use Eulers method to compute y(1), where y(x) is the solution of the initial-value problem (i) h =

(a) Program a calculator or computer to use Euler€™s method to compute y(1), where y(x) is the solution of the initial-value problem

(i) h = 1 (ii) h = 0.1
(iii) h = 0.01 (iv) h = 0.001
(b) Verify that y = 2 + e€“x3 is the exact solution of the differential equation.
(c) Find the errors in using Euler€™s method to compute y(1) with the step sizes in part (a). What happens to the error when the step size is divided by 10?

+ 3x*y = 6x (0)- 3 dy dx

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