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Assignment 2 Q1. Given that the function Plot for and for on the same figure (divided into two sections). Indicate clearly the graph components. and Q2. The Explicit Euler Formula: Let be an explicitly defined first order ODE with interval with spacing. Without loss of generality, assume that and for some positive integer values. The linear approximation of around and is given by or equivalently Consider the differential equation with initial condition has the exact solution. Approximate the solution to this initial value problem between 0 and 1 in increments of 0.1 using the Explicit Euler Formula. Then, plot the difference between the approximated solution and the exact solution. Q3. Given the following discrete time equation Assume the initial values y[0]=0; y[-1-0. Solve the given equation and plot the graph. Q4. Determine how long it will take to accumulate at least $10,000 in a bank account if you deposit SSOO initially and $500 at the end of each year, if the account pays 5% annual interest. > 15 Q1. Given that the function y1 = e-1.2xsin (10x + 5) and y2 = |x3 1001 Plot yn for 0