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 = 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 p as a solution of the differential equation, give at least one interval I of definition. O [3, 0) O (-0, -3] О(-3, 3) O (0, 0) O (-∞, 0)
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 = 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 p as a solution of the differential equation, give at least one interval I of definition. O [3, 0) O (-0, -3] О(-3, 3) O (0, 0) O (-∞, 0)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![Verify that the indicated function y = 9(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,
2xy? =
%D
Since the left and right hand sides of the differential equation are equal when 1/(9 – x²) is substituted for y, y = 1/(9 – x) is
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 o as a solution of the differential equation, give at least one interval I of definition.
[3, со)
O (-00, -3]
О (-3, 3)
(0, 0)
O (-∞, 0)
O O O O O](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6cf78908-a1f9-4330-9ece-f4021df10613%2Fd6463a54-e386-422a-9778-73a9f5be01e2%2Fyth2loe_processed.png&w=3840&q=75)
Transcribed Image Text:Verify that the indicated function y = 9(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,
2xy? =
%D
Since the left and right hand sides of the differential equation are equal when 1/(9 – x²) is substituted for y, y = 1/(9 – x) is
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 o as a solution of the differential equation, give at least one interval I of definition.
[3, со)
O (-00, -3]
О (-3, 3)
(0, 0)
O (-∞, 0)
O O O O O
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