Question 1 Consider the differential equation (DE) given by y = y – x - 1. (a) Plot the direction field at the points where y/ 0, y = 1, and y'= -1. (b) Plot the direction field on the r-axis, and the...

Extracted text: Question 1 Consider the differential equation (DE) given by y = y – x - 1. (a) Plot the direction field at the points where y/ 0, y = 1, and y'= -1. (b) Plot the direction field on the r-axis, and the y-axis. (c) Without solving the DE, sketch a graph of any solution curve below the line y = r+ 2. (d) Solve the DE using integrating factor. Show all solutions.