N 24. Consider the equation or by s. Try E each dy y-4x x-yiousupo lsinonsi (29) dx a. Show that equation (29) can be rewritten as dy v/x) - 4 1- (y/x)* (30) dx thus equation (29) is homogeneous. b. Introduce a new dependent variable v so that v = y = xv(x). Express dy/dx in terms of x, v, and dv/dx. c. Replace y and dy/dx in equation (30) by the expressions from part b that involve v and dv/dx. Show that the resulting differential equation is re the = y/x, or noilagitesv (8Yand 1-y dalsto re the dv v+x- ソ-4 dx I The word 小一本
N 24. Consider the equation or by s. Try E each dy y-4x x-yiousupo lsinonsi (29) dx a. Show that equation (29) can be rewritten as dy v/x) - 4 1- (y/x)* (30) dx thus equation (29) is homogeneous. b. Introduce a new dependent variable v so that v = y = xv(x). Express dy/dx in terms of x, v, and dv/dx. c. Replace y and dy/dx in equation (30) by the expressions from part b that involve v and dv/dx. Show that the resulting differential equation is re the = y/x, or noilagitesv (8Yand 1-y dalsto re the dv v+x- ソ-4 dx I The word 小一本
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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