Obtain the particular solution satisfying the initial conditions indicated. 1. e* (3x°y-x)dx+e" dy = 0; when x = 0, y = -1 4 -x 1 Ans. y =--e + 3 3

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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Obtain the particular solution satisfying the initial conditions indicated.
1. e (3x°y-x')dx+e dy = 0; when x = 0, y = -1
4
Ans. y =--e
3
1
+
3
2. (t - x)dt – tdx = 0; when t = 1, x = 5
%D
14
Ans. x=-t +
3t
3
3. (y +xy)dx- x dy = 0; when x = 1, y = 1
1-
Ans. x=e
Transcribed Image Text:Obtain the particular solution satisfying the initial conditions indicated. 1. e (3x°y-x')dx+e dy = 0; when x = 0, y = -1 4 Ans. y =--e 3 1 + 3 2. (t - x)dt – tdx = 0; when t = 1, x = 5 %D 14 Ans. x=-t + 3t 3 3. (y +xy)dx- x dy = 0; when x = 1, y = 1 1- Ans. x=e
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