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2. Solve by variation of parameters method (a) y' + y = sec x (b) y" – y = cosh r e2x (c) y" – 4y 1 (d) y" + 3y + 2y = 1+ ez (e) y" – 2y' + y = et arctan t (f) 4y' – 4y' + y = e% /1– x² (g) 2y" + y – y = x + 1; y(0) = 1, y(0) = 0 (h) y" + y = tan x (i) y" – 3y" + 2y = + er

2. Solve by variation of parameters method (a) y' + y = sec x (b) y" – y = cosh r e2x (c) y" – 4y 1 (d) y" + 3y + 2y = 1+ ez (e) y" – 2y' + y = et arctan t (f) 4y' – 4y' + y = e% /1– x² (g) 2y" + y – y = x + 1; y(0) = 1, y(0) = 0 (h) y" + y = tan x (i) y" – 3y" + 2y = + er

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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2. Solve by variation of parameters method (a) y' +y = sec x (b) y" – y = cosh a e2x (c) y" – 4y 1 (d) y" + 3y' + 2y = 1+ et (e) y" – 2y' + y = et arctant (f) 4y' – 4y' + y = e% /I- x² (g) 2y" + y – y = x + 1; y(0) = 1, y(0) = 0 (h) y" + y = tan x (i) y" – 3y" + 2y = + er
Transcribed Image Text:2. Solve by variation of parameters method (a) y' +y = sec x (b) y" – y = cosh a e2x (c) y" – 4y 1 (d) y" + 3y' + 2y = 1+ et (e) y" – 2y' + y = et arctant (f) 4y' – 4y' + y = e% /I- x² (g) 2y" + y – y = x + 1; y(0) = 1, y(0) = 0 (h) y" + y = tan x (i) y" – 3y" + 2y = + er
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