3. (y +xy)dx - x'dy = 0; when x = 1, y = 1 Ans. x=e

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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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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HOMOGENEOUS and EXACT EQUATIONS

I. Obtain the particular solution satisfying the initial conditions indicated.

(Answer number 3 please)

1. e (3xy-x)dx+e" dy 0; when x = 0, y = -1
4
1
Ans. y =--e*+
3
3
2. (t -x)dt -tdx=0; when t= 1, x = 5
1 14
Ans. x=-t+
3
3t
3. (y+xy)dx-xr'dy 0; when x= 1, y = 1
Ans. x=e
Transcribed Image Text:1. e (3xy-x)dx+e" dy 0; when x = 0, y = -1 4 1 Ans. y =--e*+ 3 3 2. (t -x)dt -tdx=0; when t= 1, x = 5 1 14 Ans. x=-t+ 3 3t 3. (y+xy)dx-xr'dy 0; when x= 1, y = 1 Ans. x=e
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