dy dt 4y - y², Without solving for y(t), find the steady states of the logistic equation and determine whether each steady state is stable, unstable, or semi-stable. Based on this information, make approximate graphs of solutions y(t) starting from y(0) = −1, y(0) = 2, and y(0) = 5. You can graph all the solutions on the same axes (but label them clearly). -

From 2000 through 2009, the population of State A grew more slowly than that of State B. Models that represent the populations of the two states are given by   P  =  37.5t + 6075     State A P  =  168.2t + 5138     State B where P is the population (in thousands) and t represents the year, with t = 0 corresponding to 2000. Use the models to estimate when the population of State B first exceeded the population of State A. (Round your answer to the nearest year.)

Two numbers are greater than 10 but less than 40. Their GCF is 17. What are the two numbers?

Two species, x and y, coexist in a symbiotic (dependent) relationship modeled by the following growth equations. dx = - 4x + 7xy dt dy = - 6y + 5xy dt a. Find an equation relating x and y if x = 5 when y = 1. b. Find values of x and y so that both populations are constant. ... a. Enter the equation below. = 0

Calculate G(16), where dG/dt =t-1/2 and G(9) = -5.