11. 120 Points Consider the numerical solution of a first order ODE using the Euler method. In this method the solution of an ODE dy/dx -f(x, y) with an initial value yy(x), is given by where h is the step-size. Consider the following sets of ODE, initial condition and analytical solution to complete the table below. Make sure that you have the angle mode set to radians on your calculator (a) dy/dt - y -2 sint; Initial condition y(0)-1; Analytical solution y-sint + cost (b) y-4e0.81-0.5y; (0)-2; Analytical solution y-4(M.e-05')+2e-0 5 (c) dy/dt-y 2t +1 y(0)-1; Analytical solution: y-3-2t 2et. dt 1.3 Euler estimate of y Analytical Value of y Global Error 0 0.0 1 0.1 2 0.2 3 0.3