Program Description: Purpose of problem is to obtain the general solution of the linear system of the differential equation x ′ = 4 x + y + 2 t , y ′ = − 2 x + y .

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Answer 1

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Chapter 4.2, Problem 7P

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Program Description: Purpose of problem is to obtain the general solution of the linear system of the differential equation x′=4x+y+2t,y′=−2x+y .

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4 In the integral dxf1dy (7)², make the change of variables x = ½(r− s), y = ½(r + s), and evaluate the integral. Hint: Find the limits on r and s by sketching the area of integration in the (x, y) plane along with the r and s axes, and then show that the same area can be covered by s from 0 to r and r from 0 to 1.

7. What are all values of 0, for 0≤0<2л, where 2 sin² 0=-sin? - 5π 6 π (A) 0, л, and 6 7π (B) 0,л, 11π , and 6 6 π 3π π (C) 5π 2 2 3 , and π 3π 2π (D) 2' 2'3 , and 3 4元 3 1 די } I -2m 3 1 -3 บ 1 # 1 I 3# 3m 8. The graph of g is shown above. Which of the following is an expression for g(x)? (A) 1+ tan(x) (B) 1-tan (x) (C) 1-tan (2x) (D) 1-tan + X - 9. The function j is given by j(x)=2(sin x)(cos x)-cos x. Solve j(x) = 0 for values of x in the interval Quiz A: Topic 3.10 Trigonometric Equations and Inequalities Created by Bryan Passwater

can you solve this question using the right triangle method and explain the steps used along the way

Answer 2

Question

Chapter 4.2, Problem 7P

Program Plan Intro

Program Description: Purpose of problem is to obtain the general solution of the linear system of the differential equation x′=4x+y+2t,y′=−2x+y .

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Answer 3

Question

Chapter 4.2, Problem 7P

Program Plan Intro

Program Description: Purpose of problem is to obtain the general solution of the linear system of the differential equation x′=4x+y+2t,y′=−2x+y .

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Answer 4

Question

Chapter 4.2, Problem 7P

Program Plan Intro

Program Description: Purpose of problem is to obtain the general solution of the linear system of the differential equation x′=4x+y+2t,y′=−2x+y .

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Answer 5

Chapter 4.2, Problem 7P

Program Plan Intro

Program Description: Purpose of problem is to obtain the general solution of the linear system of the differential equation x′=4x+y+2t,y′=−2x+y .

Answer 6

Chapter 4.2, Problem 7P

Program Plan Intro

Program Description: Purpose of problem is to obtain the general solution of the linear system of the differential equation x′=4x+y+2t,y′=−2x+y .

Answer 7

Chapter 4.2, Problem 7P

Program Plan Intro

Program Description: Purpose of problem is to obtain the general solution of the linear system of the differential equation x′=4x+y+2t,y′=−2x+y .

Answer 8

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Answer 9

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Answer 11

Ch. 4.1 - Prob. 1P Ch. 4.1 - Prob. 2P Ch. 4.1 - Prob. 3P Ch. 4.1 - Prob. 4P Ch. 4.1 - Prob. 5P Ch. 4.1 - Prob. 6P Ch. 4.1 - Prob. 7P Ch. 4.1 - Prob. 8P Ch. 4.1 - Prob. 9P Ch. 4.1 - Prob. 10P

Program Description: Purpose of problem is to obtain the general solution of the linear system of the differential equation x ′ = 4 x + y + 2 t , y ′ = − 2 x + y .

Solution Summary: The author explains how to solve the linear system of the differential equation.

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Program Description: Purpose of problem is to obtain the general solution of the linear system of the differential equation x′=4x+y+2t,y′=−2x+y .

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Chapter 4 Solutions