Solve by Laplace transforms: y" - 2y + y = e' cos 2t, y(0) = 0, and y'(0) =

Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be described by the differential equation dPdR=4DRP2 where D is the density of the plants in an area. Source: Ecology. Given the initial condition P(0)=1, find a formula for P in term of R.