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Consider the following IVP: у" + у'%3D -сos x; у(0) %3D а, у'(0) 3b Find the general solution. 1 1 y(x) = c,e-2" + cze * A - cosx + – - sinx 2 2 B y (x) = c,+c,e¯+ -coshx – – sinhx 2 2 1 y (x) = c,+c,e¯+-cosx – – sinx 2 C -2x D y(x) = c,e*+c,e-+cosx - -- sinx 2 D

Consider the following IVP: у" + у'%3D -сos x; у(0) %3D а, у'(0) 3b Find the general solution. 1 1 y(x) = c,e-2" + cze * A - cosx + – - sinx 2 2 B y (x) = c,+c,e¯+ -coshx – – sinhx 2 2 1 y (x) = c,+c,e¯+-cosx – – sinx 2 C -2x D y(x) = c,e*+c,e-+cosx - -- sinx 2 D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following IVP: y" + y' = -cos x; y(0) = a, y'(0) = b Find the general solution
Consider the following IVP: у" + у'%3D -сos x; у(0) %3D а, у'(0) —b Find the general solution. 1 - cosx + –sinx 2 1 y(x) = c,e-2" +cze * A 2 B) y(x) = c, +c,e¬ +-coshx – – sinhx 2 В 1 -cosx – -sinx y (x) = c, +c,e¯+-cosx – – sinx y (x) = c,e¯*+c,e -2x D +-cosx -- sinx 2 2
Transcribed Image Text:Consider the following IVP: у" + у'%3D -сos x; у(0) %3D а, у'(0) —b Find the general solution. 1 - cosx + –sinx 2 1 y(x) = c,e-2" +cze * A 2 B) y(x) = c, +c,e¬ +-coshx – – sinhx 2 В 1 -cosx – -sinx y (x) = c, +c,e¯+-cosx – – sinx y (x) = c,e¯*+c,e -2x D +-cosx -- sinx 2 2
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