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Solve the following differential equation y' (x) = y· cos(x) O y (x) = sin(x) + C O y (x) CeCos(z) O y (x) esin(z) + C O y (x) Cesin(z)

Solve the following differential equation y' (x) = y· cos(x) O y (x) = sin(x) + C O y (x) CeCos(z) O y (x) esin(z) + C O y (x) Cesin(z)

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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Question
Solve the following differential equation: \[ y'(x) = y \cdot \cos(x) \] Options: 1. \( y(x) = \sin(x) + C \) 2. \( y(x) = C e^{\cos(x)} \) 3. \( y(x) = e^{\sin(x)} + C \) 4. \( y(x) = C e^{\sin(x)} \) There are no graphs or diagrams included in this image.
Transcribed Image Text:Solve the following differential equation: \[ y'(x) = y \cdot \cos(x) \] Options: 1. \( y(x) = \sin(x) + C \) 2. \( y(x) = C e^{\cos(x)} \) 3. \( y(x) = e^{\sin(x)} + C \) 4. \( y(x) = C e^{\sin(x)} \) There are no graphs or diagrams included in this image.
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