Question 6: Given the differential equation (E3): (3x²y+ 2xy + y³)dx + (x² + y²)dy = 0. The integrating factor that makes (E3) exact is: a. e* b. e2x C. e3x

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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c. 4x= 4y5
d. y5 = 4x2
Question 6:
Given the differential equation
(E3): (3x²y + 2xy+ y³)dx + (x² + y²)dy = 0.
The integrating factor that makes (E3) exact is:
a. e*
b. e2x
C. e3x
Question 7:
Given the following differential equation (E5): x²y" – 3xy' + 4y 0.
Knowing that y, (x) = x² is a solution of (E5), a second solution will be:
Transcribed Image Text:c. 4x= 4y5 d. y5 = 4x2 Question 6: Given the differential equation (E3): (3x²y + 2xy+ y³)dx + (x² + y²)dy = 0. The integrating factor that makes (E3) exact is: a. e* b. e2x C. e3x Question 7: Given the following differential equation (E5): x²y" – 3xy' + 4y 0. Knowing that y, (x) = x² is a solution of (E5), a second solution will be:
b. Linear
с. Веrпolli
d. Exact
Question 5:
The solution of the following differential equation assuming that x = 0 when y = 0
dx
3x?y2
4y5
dy
is
a. x = y
b. 3x = 4y
c. 4x = 4y5
d. ys 4x2
Question 6:
Given the differential equation
(E3): (3x²y+ 2xy+y')dx + (x² +y')dy = 0.
The integrating factor that makes (E3) exact is:
Transcribed Image Text:b. Linear с. Веrпolli d. Exact Question 5: The solution of the following differential equation assuming that x = 0 when y = 0 dx 3x?y2 4y5 dy is a. x = y b. 3x = 4y c. 4x = 4y5 d. ys 4x2 Question 6: Given the differential equation (E3): (3x²y+ 2xy+y')dx + (x² +y')dy = 0. The integrating factor that makes (E3) exact is:
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