Question 2: note: use excel to plot the graphs in this question. solve the differential equation - -1.ly where y(0)-1: (a) analytically (b) using eulers method from x = 0 to 2 , with h: 05. (c) using midpoint method from x = 0 to 2 with h = 0.5 dx plot the result of part (c) along with the result of parts (a) & (b) on the same graph. (d) using heuns method from x=0 to 2, with h=0.5. perform 1 and 3 corrector iterations per step. using non-self starting analytical solution of part (a) to predict the starting values. plot the result of part (e) along with the 2 set of results of part (d), and the analytical solution (part (a)) on the same graph (e) heuns method from x=0 to 2, with h=0.5. use the (f) also tabulate the results y, and final yctinm along with e values for each true estimate method. solve d only

Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). suppose your car averages 33 miles per gallon on the highway if your average speed is 54 miles per hour, and it averages 22 miles per gallon on the highway if your average speed is 75 miles per hour. answer parts (a) and (b) below. a. what is the driving time for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the driving time at 75 miles per hour? the driving time at 54 miles per hour is nothing hours. (type an integer or decimal rounded to two decimal places as needed.) the driving time is at 75 miles per hour is nothing hours. (round to two decimal places as needed.) b. assume a gasoline price of $3.33 per gallon. what is the gasoline cost for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the gasoline cost at 75 miles per hour? the gasoline cost at 54 miles per hour is $ nothing. (round to two decimal places as needed.) the gasoline cost at 75 miles per hour is $ nothing. (round to two decimal places as needed.)