Show that each of the functions defined in (A) is a solution of the corresponding differential equation in (B) for each number, subject to the given conditions. A B 1. y = Ax³ + Bx4 – x²/3 2. 8x3 – 27y = 0 3. x² + y² = C x*y"+ 2xy' – 12y = 2x² (y')³ = y; y(o) = o yy' + x = 0 %3D

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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Show that each of the functions defined in (A) is a solution of the corresponding
differential equation in (B) for each number, subject to the given conditions.
A
B
1. у%3D Ах3 + Вx4 - х*/3
2. 8x3 - 27у° %3о
3. x² + y² = C
x*y"+ 2xy' – 12y = 2x²
(y')³ = y; y(o) = o
yy' + x = 0
%3D
Transcribed Image Text:Show that each of the functions defined in (A) is a solution of the corresponding differential equation in (B) for each number, subject to the given conditions. A B 1. у%3D Ах3 + Вx4 - х*/3 2. 8x3 - 27у° %3о 3. x² + y² = C x*y"+ 2xy' – 12y = 2x² (y')³ = y; y(o) = o yy' + x = 0 %3D
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