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1. Find using Method of Undetermined Coefficient (MUC): y(3) + y(2) + y(a) + y = 2e-2* – 4x° + cos 3x y(0) = -3, y'(0) = -1, y"(0) = 2 a.Find its general solution of the homogeneous equation: a. y = c +c,e7 + cgo* C. V. = c, + c,e* + cg@?* b. ye = c, + cze-* + cze¬2* d. y. = c, e¬* + c, cos(x) + c, sin(x) b.Find its particular solution: a. yp = -e-2* - 4x² + sin(3x) –cos (3x) - 4x² - 8x + sin(3x) - cos(3x) b. e-2* + 4x - 8 - sin(3x) – 80 8x 80 cos(3x) 80 80 d. Yp -x - 4x + -2x C. Yp 3 8x -- sin(3x) +cos (3x) C.Find its solution with a given initial value problem 2. Find the solution of the given initial value problem using Method of Variation Parameters (MVP): y(2) + y = tan x y(0) = 2, y'(0) = 1o a. y = 2 cos(x) –- 11 sin(x) + In (cos(x) )tan(x) + xsec(x) c. y = 2 cos(x) + 11 sin(x) + In (cos(x) )tan(x) + xsec(x) b. y = 2 cos(x) – 11 sin(x) + cos(x) In (tan(x) + sec(x)) CEy = 2 cos(x) + 11 sin(x) cos(x) In (tan(x) + sec(x

1. Find using Method of Undetermined Coefficient (MUC): y(3) + y(2) + y(a) + y = 2e-2* – 4x° + cos 3x y(0) = -3, y'(0) = -1, y"(0) = 2 a.Find its general solution of the homogeneous equation: a. y = c +c,e7 + cgo* C. V. = c, + c,e* + cg@?* b. ye = c, + cze-* + cze¬2* d. y. = c, e¬* + c, cos(x) + c, sin(x) b.Find its particular solution: a. yp = -e-2* - 4x² + sin(3x) –cos (3x) - 4x² - 8x + sin(3x) - cos(3x) b. e-2* + 4x - 8 - sin(3x) – 80 8x 80 cos(3x) 80 80 d. Yp -x - 4x + -2x C. Yp 3 8x -- sin(3x) +cos (3x) C.Find its solution with a given initial value problem 2. Find the solution of the given initial value problem using Method of Variation Parameters (MVP): y(2) + y = tan x y(0) = 2, y'(0) = 1o a. y = 2 cos(x) –- 11 sin(x) + In (cos(x) )tan(x) + xsec(x) c. y = 2 cos(x) + 11 sin(x) + In (cos(x) )tan(x) + xsec(x) b. y = 2 cos(x) – 11 sin(x) + cos(x) In (tan(x) + sec(x)) CEy = 2 cos(x) + 11 sin(x) cos(x) In (tan(x) + sec(x

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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I. Select the best answer to each question. In your solution sheet, write the letter of the correct answer. If your answer is not among the options, write the letter 'E'. 

1. Find using Method of Undetermined Coefficient (MUC): y(3) + y(2) +y4) +y = 2e-2* – 4x + cos 3x y(0) = -3, y'(0) =-1,y"(0) = 2 a.Find its general solution of the homogeneous equation: a. y = c + Cge 7 + cze2* C. Ve = C, + Cne* + c,e2* b. ye = c, + cze-* + cze-2* d. y. = c,e* + c, cos (x) + cz sin(x) b.Find its particular solution: a. Yp – 2x – 4x2 + b. + 4x – 8x + sin(3x) – 80 8x - 80 sin(3x) - cos(3x) cos(3x) 80 80 С. Ур -2x + 4x - - 4x + -2x d. 3 8x + sin(3x) - cos(3x) 8x - sin(3x) + cos (3x) 80. c.Find its solution with a given initial value problem 2. Find the solution of the given initial value problem using Method of Variation Parameters (MVP): y(2) + y = tan x y(0) = 2, y'(0) = 10 a. y = 2 cos(x) – 11 sin(x) + In (cos(x) )tan(x) + xsec(x) c. y = 2 cos(x) + 11 sin(x) + In (cos(x) )tan(x) t xsec(x). b. y = 2 cos(x) – 11 sin(x) + cos(x) In (tan(x) + sec(x)) y = 2 cos(x) + 11 sin(x) - cos(x) ln (tan(x) + sec(x -
Transcribed Image Text:1. Find using Method of Undetermined Coefficient (MUC): y(3) + y(2) +y4) +y = 2e-2* – 4x + cos 3x y(0) = -3, y'(0) =-1,y"(0) = 2 a.Find its general solution of the homogeneous equation: a. y = c + Cge 7 + cze2* C. Ve = C, + Cne* + c,e2* b. ye = c, + cze-* + cze-2* d. y. = c,e* + c, cos (x) + cz sin(x) b.Find its particular solution: a. Yp – 2x – 4x2 + b. + 4x – 8x + sin(3x) – 80 8x - 80 sin(3x) - cos(3x) cos(3x) 80 80 С. Ур -2x + 4x - - 4x + -2x d. 3 8x + sin(3x) - cos(3x) 8x - sin(3x) + cos (3x) 80. c.Find its solution with a given initial value problem 2. Find the solution of the given initial value problem using Method of Variation Parameters (MVP): y(2) + y = tan x y(0) = 2, y'(0) = 10 a. y = 2 cos(x) – 11 sin(x) + In (cos(x) )tan(x) + xsec(x) c. y = 2 cos(x) + 11 sin(x) + In (cos(x) )tan(x) t xsec(x). b. y = 2 cos(x) – 11 sin(x) + cos(x) In (tan(x) + sec(x)) y = 2 cos(x) + 11 sin(x) - cos(x) ln (tan(x) + sec(x -
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