5. Hopefully your answer to the previous question included the word "slope." A nice way to visualize solutions to differential equations is with a slope field. For any value of t and M, we plug into right-hand side of the differential equation to get the slope, dM/dt, and indicate the slope at that point in the t-M plane by a short line segment as shown in the figure below. In this plot, r =1 and K = 100, and the horizontal axis is t and vertical is M. M 120 100 80 60 40 20 Mlo)=10-> t 6.0 0.0 1.0 2.0 3.0 4.0 5.0

5. Hopefully your answer to the previous question included the word "slope." A nice way to visualize solutions to differential equations is with a slope field. For any value of t and M, we plug into right-hand side of the differential equation to get the slope, dM/dt, and indicate the slope at that point in the t-M plane by a short line segment as shown in the figure below. In this plot, r =1 and K = 100, and the horizontal axis is t and vertical is M. M 120 100 80 60 40 20 Mlo)=10-> t 6.0 0.0 1.0 2.0 3.0 4.0 5.0

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.1: Solutions Of Elementary And Separable Differential Equations

Problem 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...

See similar textbooks