Solve for this question

1. Use the equation: dy i :1: dm _ y (a) Create a slope eld for the differential equation. You must include a slope tick mark at every coordinate (m,n) where the values are integers. That is you would make a tick mark at say (2,3) but not (0.5, 3). Use a grid spanning the following intervals: 5 S m S 5 and 5 S y S 5 (b) Solve the equation. State the method used and clearly show the derivation of the solution. (c) Your solution depends on C and thus represents a family of solutions. Based on the equation, what is the name for this solution family? (d) Can your solution be written explicitly? (e) Find the solutions that correspond to the initial conditions: 1. 11(0) 2 1 iii. y(2) = 0 ii. y(1) : 0 iv. y(0) : 0 (f) Create a 2nd graph, including both the slope eld and the four particular solutions resulting from part (e). Plot both the initial coordinate and the solution graph for each. Notes: At the end of this question you should have produced 2 graphs. Please print or draw them on the same page. Graphs should be large and easy to read I recommend a graphing rectangle with an overall length and height of 6 inches on your page