1. Consider the ordinary differential equation I _ $_4 ift5. (I) (a) Find the solution satisfying IUD = 4. Describe the qualitative behaviour of this solu- tion. (b) Find the solution satisfying 3(0) = 3. Describe the qualitative behaviour of this solution. (c) Use the method of isoclines to sketch the direction eld. Sketch the integral curves satisfying the initial conditions: 110] = 3, 37(0) = 4, a:(l) = 2, 3(6) = 1, and 2(5) = 3. ((1) State the maximal interval of existence of all of the solutions in part (c) and give justication. (e) For solutions that exist for large t describe the qualitative behaviour as L > oo