Find the particular solution of the differential equation that satisfies the initial condition. (Enter your solution as an equation.) Differential Equation Initial Condition y(1 + x2)y' x(2 + y2) = 0 Mo) = At any time t, the rate of growth of the population N of deer in a state park is proportional to the product of N and L N, where L = 900 is the maximum number of deer the park can sustain. When 1' = 0, N = 100, and when t = 4, N = 800. Write N as a function of t. (Round your coefficients to four decimal places.) 1125841582 N(t) = 1 + 012551155" X