\f2/24/22, 1:58 PM Direction field plotter This page plots a system of differential equations of the form dy/dx = f(x,y). For a much more sophisticated direction field plotter, see the MATLAB plotter written by John C. Polking of Rice University. The direction field solver knows about trigonometric, dy/dt-e^y*cos(3*t) logarithmic and exponential functions, but multiplication and evaluation must be entered explicitly (2*x and sin(x), not 2x and sin x). The Display: Minimum t: -25 -10 Minimum y Arrow length: 20 O Variable length arrows Maximum 25 Maximum 10 Number of 20 t: y: arrows: Graph Direction Field1 Exercise. Use a direction field plotter such as this one hosted by the University of Arkansas to visualize the solution curves for the differential equation, dy = ey cos(3t). dt Plot several representative curves, and describe in words any interesting patterns which appear in the graph. 2 Exercise. Solve the initial value problem given by the differential equation, du 6 - 72