- Question 1 A I Determine And Classify The Fixed Points Of Dx Y Y 1 6 4 Ii Draw The Phase Diagram 1 (73.86 KiB) Viewed 47 times
Question 1: (a) (i.) Determine and classify the fixed points of dx = y² (y² – 1). [6] [4] (ii.) Draw the phase diagram. (b) A certain radioactive materials is decaying at a rate proportional to the amount present. If a sample of 50 grams of material was present initially and after 2 hours the sample has lost 10 percent of its mass (i.) Write down a mathematical model in the form of a differential equations. (ii.) Find an expression for the mass of the material remaining at anytime time, t. (iii.) Find the mass of the material after 4 hours. (iv.) The half-life of the material. [3] [6] [2] [4] [25] 1