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Problem 3. * latch the following guess solutions y, for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. A. y,(2) = Ax? + Bx + C, B. y,(æ) = Ae2, C. y,(x) = A cos 2x + B sin 2r, D. y,(x) = (Ax + B) cos 2x + (Ca + D) sin 2x E. y, (x) = Axe2, and F. y,(x) = e (A cos 2x + B sin 2æ) 1. + 4y = x - da2 20 d?y dy + 6 + 8y = e2z dr2 2. da 3. y" + 4y' + 20y = -3 sin 2x 4. y" 2y' – 15y = 3r cos 2x

Problem 3. * latch the following guess solutions y, for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. A. y,(2) = Ax? + Bx + C, B. y,(æ) = Ae2, C. y,(x) = A cos 2x + B sin 2r, D. y,(x) = (Ax + B) cos 2x + (Ca + D) sin 2x E. y, (x) = Axe2, and F. y,(x) = e (A cos 2x + B sin 2æ) 1. + 4y = x - da2 20 d?y dy + 6 + 8y = e2z dr2 2. da 3. y" + 4y' + 20y = -3 sin 2x 4. y" 2y' – 15y = 3r cos 2x

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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Problem 3. * latch the following guess solutions y, for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. А. У, (х) — Аz?+ Br + C, В. зу, (х) — Ае2*, с. у, (х) — Асos 2т + Bsin 21r, D. y, (x) = (Ar + B) cos 2x + (Cx + D) sin 2x E. y, (x) = Axe", and F. y, (x) = e" (A cos 2x + B sin 2æ) x2 + 4y = x 1. dx? 20 d?y dy dx 2. +6. + 8y = e2z dæ? 3. y" + 4y' + 20y = -3 sin 2x 4. у" — 2у — 15у — Зх сos 2r
Transcribed Image Text:Problem 3. * latch the following guess solutions y, for the method of undetermined coefficients with the second-order nonhomogeneous linear equations below. А. У, (х) — Аz?+ Br + C, В. зу, (х) — Ае2*, с. у, (х) — Асos 2т + Bsin 21r, D. y, (x) = (Ar + B) cos 2x + (Cx + D) sin 2x E. y, (x) = Axe", and F. y, (x) = e" (A cos 2x + B sin 2æ) x2 + 4y = x 1. dx? 20 d?y dy dx 2. +6. + 8y = e2z dæ? 3. y" + 4y' + 20y = -3 sin 2x 4. у" — 2у — 15у — Зх сos 2r
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