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Verify that the indicated function y g(x) is an explicit solution of the given first-order differential equation. y-2xy²; y = 1/(9-x²) When y = 1/(9-x²), Thus, in terms of x, 2xy² = Since the left and right hand sides of the differential equation are equal when 1/(9-x) is substituted for y, y = 1/(9-x²) is a solution. Proceed as in Example 6, by considering o simply as a function and give its domain. (Enter your answer using interval notation.) Then by considering as a solution of the differential equation, give at least one interval I of definition. (1=, 0) (-=, -3] (-3, 3) [3, =) (0,=) Need Help?

Verify that the indicated function y g(x) is an explicit solution of the given first-order differential equation. y-2xy²; y = 1/(9-x²) When y = 1/(9-x²), Thus, in terms of x, 2xy² = Since the left and right hand sides of the differential equation are equal when 1/(9-x) is substituted for y, y = 1/(9-x²) is a solution. Proceed as in Example 6, by considering o simply as a function and give its domain. (Enter your answer using interval notation.) Then by considering as a solution of the differential equation, give at least one interval I of definition. (1=, 0) (-=, -3] (-3, 3) [3, =) (0,=) Need Help?

Calculus: Early Transcendentals
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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Verify that the indicated function y p(x) is an explicit solution of the given first-order differential equation. y = 2xy²; y = 1/(9-x²) When y = 1/(9-x²), y'= Thus, in terms of x, 2xy² T Since the left and right hand sides of the differential equation are equal when 1/(9-x²) is substituted for y, y = 1/(9-x2) is a solution.. Proceed as in Example 6, by considering simply as a function and give its domain. (Enter your answer using interval notation.) Then by considering as a solution of the differential equation, give at least one interval I of definition. (-2, 0) (-∞, -3] (-3, 3) [3,) (0, ∞) Need Help? Read It Watch it
Transcribed Image Text:Verify that the indicated function y p(x) is an explicit solution of the given first-order differential equation. y = 2xy²; y = 1/(9-x²) When y = 1/(9-x²), y'= Thus, in terms of x, 2xy² T Since the left and right hand sides of the differential equation are equal when 1/(9-x²) is substituted for y, y = 1/(9-x2) is a solution.. Proceed as in Example 6, by considering simply as a function and give its domain. (Enter your answer using interval notation.) Then by considering as a solution of the differential equation, give at least one interval I of definition. (-2, 0) (-∞, -3] (-3, 3) [3,) (0, ∞) Need Help? Read It Watch it
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