Explanation Given information: The given equation is y = A x cos x + B x sin x satisfy y ' ' + y = − 3 cos x Calculation: y = A x cos x + B x sin x ......... ( 1 ) y ' ' + y = − 3 cos x ............ ( 2 ) Derivative of equation (1) with respect to x. y ' = A ( − x sin x + cos x .1 ) + B ( x cos x + sin x ⋅ 1 ) y ' = − A x sin x + A cos x + B x cos x + B sin x Again, second derivative of equation (1) with respect to x. y ' = − A x sin x + A cos x + B x cos x + B sin x y ' ' = − A ( x cos x + sin x ⋅ 1 ) − A sin x + B ( − x sin x + cos x ⋅ 1 ) </

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Differential Equations

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Chapter 3.3, Problem 54PS

To determine

To calculate:the value of A and B

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Chapter 3.3, Problem 53PS

Chapter 3.3, Problem 55PS

Chapter 3 Solutions

Calculus

Ch. 3.1 - Prob. 1PS Ch. 3.1 - Prob. 2PS Ch. 3.1 - Prob. 3PS Ch. 3.1 - Prob. 4PS Ch. 3.1 - Prob. 5PS Ch. 3.1 - Prob. 6PS Ch. 3.1 - Prob. 7PS Ch. 3.1 - Prob. 8PS Ch. 3.1 - Prob. 9PS Ch. 3.1 - Prob. 10PS

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the value of A and B

Solution Summary: The author explains how to calculate the value of A and B. The given equation is y=Axmathrmcosx+Bx

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