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 3xy(0) = -3, y'(0) =-1,y"(0) = 2a.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) –808x -80sin(3x) - cos(3x)cos(3x)8080С. Ур-2x + 4x -- 4x +-2xd.38x + sin(3x) - cos(3x)8x - sin(3x) + cos (3x)80.c.Find its solution with a given initial value problem2. Find the solution of the given initial value problem using Method of VariationParameters (MVP):y(2) + y = tan xy(0) = 2, y'(0) = 10a. 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-

1. Given : differential equation y3+y2+y1+y=2e-2x-4x2+cos3x, y0=-3, y'0=-1, y''0=2…

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

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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