The rate of change of P is proportional to P. When t = 0, P = 5000 and when t = 1, P = 4750. What is the value of P when t = 5? Solve the differential equation. (2 + x) y' - xy = 0 Radioactive radium has a half life of approximately 1599 years. If at time t = 2,000 years there was 5 grams of radium, how many grams would be present at t = 5,000 years? Sketch a slope field for y' = xy / x2 + 4. Sketch the solution through the point (0,1) and find the particular solution.