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2. (separation of variables) Solve: (e¯y + 1)-²e³dx + (e¯ª + 1)−³e¹dy = 0

2. (separation of variables) Solve: (e¯y + 1)-²e³dx + (e¯ª + 1)−³e¹dy = 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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Answer number 2 and 4 only.

Use the indicated method and show necessary solutions / substitutions / representations (as how we do in class) for full credit. π 4 2. (separation of variables) Solve: (e¯y + 1)-²eª dx + (e¯ª + 1) −³e¹dy = 0 3. (linear differential equation) Solve:- + r sec 0: = cos 0. dr de 4. (linear differential equation) Find a continuous solution satisfying 1. (separation of variables) Solve: sin x cos² y dx + cos² x dy = 0, y(0) (1+x²) dy dx + 2xy = f(x) where f(x)= = X if 0 < x < 1 -x if x ≥ 1 , y(0) = 0
Transcribed Image Text:Use the indicated method and show necessary solutions / substitutions / representations (as how we do in class) for full credit. π 4 2. (separation of variables) Solve: (e¯y + 1)-²eª dx + (e¯ª + 1) −³e¹dy = 0 3. (linear differential equation) Solve:- + r sec 0: = cos 0. dr de 4. (linear differential equation) Find a continuous solution satisfying 1. (separation of variables) Solve: sin x cos² y dx + cos² x dy = 0, y(0) (1+x²) dy dx + 2xy = f(x) where f(x)= = X if 0 < x < 1 -x if x ≥ 1 , y(0) = 0
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