2. Consider the ODE 2 3 y' +-y = 3+1 With the initial condition that y=1 when x = 1. a. Show that the particular solution is y ; (In xº + x3 + 2). 3x2 b. Use the 2nd, grd and 4th Runge-Kwtta methods to approximate the value of y at x = 2 using a step size of h = 0.1. Complete the table below. RK Method | Step size | Approx. value of y | Abs. Err. | Rel. Abs. Err. (%) RK-2 0.1 RK-3 0.1 RK-4 0.1 Show details of computation below (or paste a screenshot of Excel computation).

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