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3.(Straightforward) Verify that the piecewise defined function { x*, x < 0 -x³, x > 0 y = is a solution of the differential equation xy' = 3y on the entire domain (-0, 00). (Hint: First check the two disjoint domains (-∞, 0) and (0, ∞), and then make sure everything works at x = 0.)

3.(Straightforward) Verify that the piecewise defined function { x*, x < 0 -x³, x > 0 y = is a solution of the differential equation xy' = 3y on the entire domain (-0, 00). (Hint: First check the two disjoint domains (-∞, 0) and (0, ∞), and then make sure everything works at x = 0.)

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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3. (Straightforward) Verify that the piecewise defined function x³, x < 0 1 -x³, x > 0 is a solution of the differential equation xy' = 3y on the entire domain (-∞0, 00). (Hint: First check the two disjoint domains (-∞,0) and (0, ∞), and then make sure everything works at x = 0.)
Transcribed Image Text:3. (Straightforward) Verify that the piecewise defined function x³, x < 0 1 -x³, x > 0 is a solution of the differential equation xy' = 3y on the entire domain (-∞0, 00). (Hint: First check the two disjoint domains (-∞,0) and (0, ∞), and then make sure everything works at x = 0.)
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