1. Solve the initial value problem y' = 2y + 3, y(0) = 2.
2. The population p(t) of the South American Agouti satisfies the population law dp/dt = 0. 05p - 450, where the factor 0.05 reflects the birth rate and the -450 is a dt constant harvest rate due to natural predators such as the jaguar and ocelot. Find all solutions to this problem.