Chapter 6.1, Problem 69E

Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

Slope Field In Exercises 67–72, use a computer algebra system to (a) graph the slope field for thedifferential equation and (b) graph the solution satisfying the specified initial condition. d y d x = 0.02 y ( 10 − y ) , y ( 0 ) = 2

To determine

To Graph:

The slope field for the differential equation using computer algebra system

Explanation

Given: dydx=0.02y(10y)

Graph:

Interpretation:

For y>0, as dydx=0.02y(10y) increases and becomes positive

b)

To determine

To Graph:

The particular solution for the differential equation satisfying the specified initial condition using a CAS.

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