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Which of the following statements are FALSE about the method of variation parameters? I. II. If y₁ = sin x and y2 = cos x, then W = sinx (-sin x) - cos x (cosx). By using method of variation parameters, the particular solution y, is given as yp = uy₂ + vy₁. III. The equation y" - 16y' = tanx cannot be solved using method of variation parameters. IV. It cannot be used to solve a nonhomogeneous second order linear differential equation. II and IV O II, III and IV I and III I, III and IV

Which of the following statements are FALSE about the method of variation parameters? I. II. If y₁ = sin x and y2 = cos x, then W = sinx (-sin x) - cos x (cosx). By using method of variation parameters, the particular solution y, is given as yp = uy₂ + vy₁. III. The equation y" - 16y' = tanx cannot be solved using method of variation parameters. IV. It cannot be used to solve a nonhomogeneous second order linear differential equation. II and IV O II, III and IV I and III I, III and IV

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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Which of the following statements are FALSE about the method of variation parameters? II. If y₁ = sin x and y₂ = cos x, then W = sin x (-sin x) - cos x (cos x). By using method of variation parameters, the particular solution y, is given as yp uy₂ + vy₁. III. The equation y" - 16y' = tanx cannot be solved using method of variation parameters. IV. It cannot be used to solve a nonhomogeneous second order linear differential equation. II and IV II, III and IV O I and III I, III and IV
Transcribed Image Text:Which of the following statements are FALSE about the method of variation parameters? II. If y₁ = sin x and y₂ = cos x, then W = sin x (-sin x) - cos x (cos x). By using method of variation parameters, the particular solution y, is given as yp uy₂ + vy₁. III. The equation y" - 16y' = tanx cannot be solved using method of variation parameters. IV. It cannot be used to solve a nonhomogeneous second order linear differential equation. II and IV II, III and IV O I and III I, III and IV
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