Let y(t) be the solution to y' = 16te- satisfying y(0) = 9. Use Euler's Method with the time step h = 0.1 to approximate y(0.1), y(0.2), ... , y(1.0). (Use decimal notation. Give your answers to six decimal places.) n = 0, to = 0, yo = n = 1, t1 = 0.1, y1 = n = 2, t2 = 0.2, y2 = n = 3, t3 = 0.3, y3 = n = 4, t4 = 0.4, y4 = n = 5, t5 = 0.5, ys = n = 6, t6 = 0.6, y6 = n = 7, t7 = 0.7, )7 = n = 8, t: = 0.8, y8 = n = 9, to = 0.9, yo = n = 10, t10 = 1, y10 =Use separation of variables to find y(t) exactly. (Express numbers in exact form. Use symbolic notation and fractions where needed.) y(t) = Compute the errors in the approximations to y(0.1), y(0.5), and y(1.0). (Use decimal notation. Give your answers to six decimal places.) ly(0.1) - yil = ly(0.5) - ys| = ly(1) - ylol =