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Problem 4 Let z be an independent variable and let y be a dependent variable with respect to . For each of the following differential equations, find its general solutions. (1) y' + x + xy = 0. (2) y = y² +2.

Problem 4 Let z be an independent variable and let y be a dependent variable with respect to . For each of the following differential equations, find its general solutions. (1) y' + x + xy = 0. (2) y = y² +2.

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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**Problem 4** Let \( x \) be an independent variable and let \( y \) be a dependent variable with respect to \( x \). For each of the following differential equations, find its general solutions. 1. \( y' + x + xy = 0. \) 2. \( y' = y^2 + 2. \)
Transcribed Image Text:**Problem 4** Let \( x \) be an independent variable and let \( y \) be a dependent variable with respect to \( x \). For each of the following differential equations, find its general solutions. 1. \( y' + x + xy = 0. \) 2. \( y' = y^2 + 2. \)
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