Consider the differential equation a) [1 point] Is the equation separable? Is it linear? Why or why not? b) [3 points) Without solving the equation, determine or not the following are solutions: y=2C+2 c) [3 points] Determine the general solution of the differential equation. d) [2 points) using the online applet at https://homepages.bluffton.edu/nesterd/apps/slopefields.html, create a slope field for the differential equation. (This is the same applet as the one you used in Tutorial 6.) On the slope field, plot the solution curves for y(O) = 4, 2, 0, 2, 4. (Include a screenshot with your submission.) Do any of these initial values correspond to the solutions you confirmed in part (a)? Your slope field should include the range 4 y 4 x 4. Make sure you remove any pre-defined curves that don't match your slope field. e) [1 point] By looking at the original differential equation, along what line should we expect to see a local minimum far any of the solution curves, and why? Is this relationship reflected in your direction field plot? (If necessary, plot additional solution curves.)