In each of 14 through 20: a. Find an equation of the form H( x, y) = c satisfied by the trajectories. G b. Plot several level curves of the function H. These are trajectories of the given system. Indicate the direction of motion on each trajectory.dx/dt = 2x2 y 3x2 4y, dy/dt = 2xy2 + 6xy 1

MTH256:WEEK 0-1 Wednesday Week 0, September 21 , 2016 Basic Definitions: Differential Equation: equation involving an unknown function and its derivatives Order: “diffyQ” depends on the highest order derivative seen in the function Ordinary Differential Equation (ODE): involves a function of only one variable Solution: a function y=f(x) that satisfies the equation on some open interval Solution...