Q4 (5 points) Write down your student ID. Remove all zeros from it. Let a, b and c be the last three digits in the remaining string. For example, if your student ID is 102304560, then a = 4, b = 5 and c = 6. With these choices of a, b and c: (i) For what values of r does the function y = e" satisfy the following differential equation? ay" + by' - cy = 0 (ii) If 71 and 72 are two different values of r that you found in Part (i), show that every member of the family of functions y = Aenz + Benz is also a solution. + Drag and drop your files or click to browse... Q5 (5 points) Write down your student ID. Remove all zeros from it. Let a, b and c be the last three digits in the remaining string. For example, if your student ID is 102304560, then a = 4, b = 5 and c = 6. With these choices of a, b and c, use Euler's method with step size 0.1 to estimate y(c + 0.5), where y() is the solution of the initial-value problem y' = ay + bry, y(c) = 1. Round your answer to 4 decimal places. + Drag and drop your files or click to browse