Module 7 DBA

3. (12 points) Slope fields and differential equations: 3. Sketch a slope field at each point on the given xy-plane for the differential equation :: 2 b. Describe all points in the xy-plane for which the slopes on the slope field are negative. Is there a finite or infinite number of points with negative slope on the slope field given? c. Let y = glx) be the particular solution to the differential equation with the initial condition 9(1) = -1. Write an equation for the line tangent to the graph of g(x) at (1, -1) and use it to approximate 9(12). d. Find the particular solution y:g(x) to the given differential equation with the initial condition g(1) : -1