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cos(2æ) Given the differential equation y" + 4y' + 5y = Propose an appropriate particular solution. Take u1 and u2 to be functions of x. Yp = uje¯ª + u2 eª Yp = Uje-2x + uze2a Yp = e2* (u1 cos(x)+ u2 sin(x)) Yp = e-® (u1 cos(-2x) + u2 sin(-2x))

cos(2æ) Given the differential equation y" + 4y' + 5y = Propose an appropriate particular solution. Take u1 and u2 to be functions of x. Yp = uje¯ª + u2 eª Yp = Uje-2x + uze2a Yp = e2* (u1 cos(x)+ u2 sin(x)) Yp = e-® (u1 cos(-2x) + u2 sin(-2x))

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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cos(2x) Given the differential equation y" + 4y' + 5y = x2 Propose an appropriate particular solution. Take u1 and u2 to be functions of x. uje-® + uz e" -x- Ур + uze" -2x Yp = u1e + uze2a Yp -2x = e (u1 cos(x) + u2 sin(x)) Ур = e-® (u1 cos(-2x)+ uz sin(-2x)) COS %3D
Transcribed Image Text:cos(2x) Given the differential equation y" + 4y' + 5y = x2 Propose an appropriate particular solution. Take u1 and u2 to be functions of x. uje-® + uz e" -x- Ур + uze" -2x Yp = u1e + uze2a Yp -2x = e (u1 cos(x) + u2 sin(x)) Ур = e-® (u1 cos(-2x)+ uz sin(-2x)) COS %3D
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