How would I describe a particular solution to a differential equation using a direction field? Like for dy/dx=1-xy I know that in the first quadrant the slopes of solutions start off positive then go to zero at (1,1) and then increasing negative after that. Similarly, I can describe the general trends for each of the other quadrants. But if I had y(-1)=-2 how would I describe the solution with this initial condition? Thanks!
How would I describe a particular solution to a differential equation using a direction field? Like for dy/dx=1-xy I know that in the first quadrant the slopes of solutions start off positive then go to zero at (1,1) and then increasing negative after that. Similarly, I can describe the general trends for each of the other quadrants. But if I had y(-1)=-2 how would I describe the solution with this initial condition? Thanks!
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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How would I describe a particular solution to a differential equation using a direction field? Like for dy/dx=1-xy I know that in the first quadrant the slopes of solutions start off positive then go to zero at (1,1) and then increasing negative after that. Similarly, I can describe the general trends for each of the other quadrants. But if I had y(-1)=-2 how would I describe the solution with this initial condition? Thanks!
Expert Solution
Step 1: Given
We have given,
Intitail points: y(-1) = -2
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