Separate variables and use partial fractions to solve the initial value problems in Problems 1-8. Use either the exact solution or a computer-generated slope field to sketch the graphs of sev- eral solutions of the given differential equation, and highlight the indicated particular solution. dx 1. dt dx = x - x², x(0) = 2 2. 10x – x2, x (0) = 1 dt dx dx = 1-x², x(0) = 3 = 9 – 4x2, x(0) = 0 3. 4. dt dt dx Зx (5 — х), х (0) %3 8 dt dx 6. = 3x (x – 5), x (0) = 2 dt dx 7. = 4x(7 – x), x (0) = 11 dt dx 8. 7x(x – 13), x(0) = 17 dt 5.
Separate variables and use partial fractions to solve the initial value problems in Problems 1-8. Use either the exact solution or a computer-generated slope field to sketch the graphs of sev- eral solutions of the given differential equation, and highlight the indicated particular solution. dx 1. dt dx = x - x², x(0) = 2 2. 10x – x2, x (0) = 1 dt dx dx = 1-x², x(0) = 3 = 9 – 4x2, x(0) = 0 3. 4. dt dt dx Зx (5 — х), х (0) %3 8 dt dx 6. = 3x (x – 5), x (0) = 2 dt dx 7. = 4x(7 – x), x (0) = 11 dt dx 8. 7x(x – 13), x(0) = 17 dt 5.
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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