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I. IDENTIFICATION 1. The integrating factor of (4xy + 3y² – x)dx +x(x + 2y)dy = 0. 2. The standard form of Bernoulli's equation.

I. IDENTIFICATION 1. The integrating factor of (4xy + 3y² – x)dx +x(x + 2y)dy = 0. 2. The standard form of Bernoulli's equation.

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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1. IDENTIFICATION 1. The integrating factor of (4xy + 3y² – x)dx +x(x+ 2y)dy = 0. 2. The standard form of Bernoulli's equation. 3. In Bernoulli's equation when n = 1, what will happen to the variables. 4. Consider the equation (a1x + b1y + c1)dx + (a2x + b2y + c2)dy = 0. If the line coeeficients do not intersect, a constant k exists, what would be the equivalent of a2x+b2y? 5. An equation obtained from the standard form of a linear differential equation by replacing the right member by zero. 6. If the auxiliary equation has an imaginary roots those roots must occur in 7. The solution of(D² – D – 2)y = 0. 8. The roots of(D³ – 4D² + 4D)y = 0. 9. The standard form of imaginary are m+ib and m-ib. In the equation(D² – 2D + 5)y = 0, what is the value of b. 10. It must be kept in mind that the method of the undetermined coefficients is applicable when, and only when, the right member of the equation is itself a solution of some homogeneous linear differential equation with constant coefficients.
Transcribed Image Text:1. IDENTIFICATION 1. The integrating factor of (4xy + 3y² – x)dx +x(x+ 2y)dy = 0. 2. The standard form of Bernoulli's equation. 3. In Bernoulli's equation when n = 1, what will happen to the variables. 4. Consider the equation (a1x + b1y + c1)dx + (a2x + b2y + c2)dy = 0. If the line coeeficients do not intersect, a constant k exists, what would be the equivalent of a2x+b2y? 5. An equation obtained from the standard form of a linear differential equation by replacing the right member by zero. 6. If the auxiliary equation has an imaginary roots those roots must occur in 7. The solution of(D² – D – 2)y = 0. 8. The roots of(D³ – 4D² + 4D)y = 0. 9. The standard form of imaginary are m+ib and m-ib. In the equation(D² – 2D + 5)y = 0, what is the value of b. 10. It must be kept in mind that the method of the undetermined coefficients is applicable when, and only when, the right member of the equation is itself a solution of some homogeneous linear differential equation with constant coefficients.
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