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Find the complete or particular solutions of the following dif- ferential equations: 4x + xy 1. dy dx y - x2y + y?) (1 – x2) = c Answer: %3D

Find the complete or particular solutions of the following dif- ferential equations: 4x + xy 1. dy dx y - x2y + y?) (1 – x2) = c Answer: %3D

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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Find the complete or particular solutions of the following dif- ferential equations: 4x + ху? 1. dy dx y - x2y Answer: (4 + y²) (1 – x²) = C 2. y'-2y = y2; y = 3 when x = 0. Answer: 5y = 3(y + 2)e2x %3D 3. dr b(cos e dr +r sin e d e) (b is a constant). Answer: r = C(1-b cos e) 4. y Inx In y dx + dy = 0. Answer: x Inx + In (Iny) = x + C %3D 5. (y')2 -1-y 1 when x = 1. 2 Answer: Arcsin x Arcsin y = */3
Transcribed Image Text:Find the complete or particular solutions of the following dif- ferential equations: 4x + ху? 1. dy dx y - x2y Answer: (4 + y²) (1 – x²) = C 2. y'-2y = y2; y = 3 when x = 0. Answer: 5y = 3(y + 2)e2x %3D 3. dr b(cos e dr +r sin e d e) (b is a constant). Answer: r = C(1-b cos e) 4. y Inx In y dx + dy = 0. Answer: x Inx + In (Iny) = x + C %3D 5. (y')2 -1-y 1 when x = 1. 2 Answer: Arcsin x Arcsin y = */3
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