5. y' - y sin x = 2 sin x; %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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Using the process of linear differentiation, solve the given differential equation.

SOLVE NO. 5 ONLY

II. Solve the given initial - value problem.
dy
1. x+y = 4x + 1; y(1) = 8
dx
2. y' + 4xy = x³e**; y(0) = -1
dy
3. (x + 1)+ y = In x; y(1) = 10
dx
4. x(x + 1)y' +xy = 1; y(e) = 1
5. y' - y sinx = 2 sin x; yG)
»G) = 1
Transcribed Image Text:II. Solve the given initial - value problem. dy 1. x+y = 4x + 1; y(1) = 8 dx 2. y' + 4xy = x³e**; y(0) = -1 dy 3. (x + 1)+ y = In x; y(1) = 10 dx 4. x(x + 1)y' +xy = 1; y(e) = 1 5. y' - y sinx = 2 sin x; yG) »G) = 1
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