Make sure the work in d) is correct by plugging it in the original equation

1. In this problem, you'll look at the differential equation n dy = et-y. dt (a) Which of the following is the slope field of the differential equation? Explain how you eliminated the other choices. (i) (ii) (iii) (iv) (b) On the slope field you picked in (a), sketch the solution curve satisfying y(0) = 1. (c) Find the general solution of the differential equation. (d) Find the solution of the differential equation which satisfies the initial condition y(0) = 1. You may want to use a graphing calculator or computer to check that your solution matches your sketch from (b). (e) Check that your answer to (d) is correct by plugging it in to the original differential equation