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Use variation of parameters to solve y'' - 7y' +10y= e^2x.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter5: Graphs And The Derivative

Section5.CR: Chapter 5 Review

Problem 16CR

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Use variation of parameters to solve y'' - 7y' +10y= e^2x.

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solve y′ = x^2 y
solve the equation (D^2+1)y=e^2x
Determine the solution by the method of variation of parameters.y'''+y''=12e^(2x)
Solve for the particular solution: (D2 - 2D + 6)y = e-2x Oyp = (1/14)e^(-2x) O yp = 12e^(-2x) O yp 14e^(-2x) O yp = (1/12)e^(-2x)
Solve for the particular solution: (D² - 2D + 6)y = 4e-2x Ⓒyp= (-1/2) e^(-2x) YP Oyp = -2xe^(-2x) yp = -2e^(-2x) Oyp = (x/2) e^(-2x)
use the equation A(t)=A0e^kt
Solve for the particular solution: (D² - 2D + 6)y = 4e¯2x Oyp = -2xe^(-2x) O yp = (x/2) e^(-2x) Oyp = -2e^(-2x) Oyp = (-1/2) e^(-2x)
Solve by variation of parameters. y''-4y'-60y=32e^2x-39e^-3x+60^4x
Solve using the method of undetermined coefficients y''+ 3y = -48x²e^3x
Solve using indeterminate coefficients y '' + 9y = x ^ (2) e ^ (3x) + 6