QUESTION 7 Find the value of k so that the given differential equation is exact. (y³ + kxy4—2x) dx + (3xy²+20x²y³) dy = 0. Then find the implicit solution. O 10; xy ³ + 5x²y4-x²=C ○ -10;x²y³+x²y4+x²=C -8; xy ³ - 5x²y + x = C; O 1 ; xy² − 3xy+x²=C

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...
icon
Related questions
Question
QUESTION 7
Find the value of k so that the given differential equation is exact. (y³+kxy4− 2x) dx + (3xy² + 20x²y³) dy = 0. Then find the implicit
solution.
O 10; xy ³+5x²y4-x²=C
O-10;x²y³ + x
3
²y³+x²y4+x²=C
O 1
-8; xy ³ - 5x²y + x = C;
; xy² − 3xy + x²=C
Transcribed Image Text:QUESTION 7 Find the value of k so that the given differential equation is exact. (y³+kxy4− 2x) dx + (3xy² + 20x²y³) dy = 0. Then find the implicit solution. O 10; xy ³+5x²y4-x²=C O-10;x²y³ + x 3 ²y³+x²y4+x²=C O 1 -8; xy ³ - 5x²y + x = C; ; xy² − 3xy + x²=C
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning