only HANDWRITTEN answer needed ( NOT TYPED) Consider the variable coefficient linear non-homogeneous ODEwhereandwhere u and v are unknown functions.c(x) =OThe two linearly independent solutions of the associated homogeneous equation aresinh(3r) 53 cosh (3x)x+2 sinh(3x)23O 3 cosh(32)+2 sinh(3a)(a) Which of the following is the expression for u?OOThe solution method involves solving two first order ODES for u and v.z33 cosh(3x)x+2 sinh(3x)sinh(32) 5-3 cosh(3x)x-2 sinh(3x)Oa(x) =A particular solution to the non-homogeneous equation can be found using the method of variation of parameters,(b) Which of the following is the expression for u?2:33 cosh(3x)x+2 sinh(3x)-3 cosh (3x)x - 2 sinh(3x)T3sinh(32)z53 cosh(3)+2 sinh(3)a(z)y" + b(r)y' + c(x)y=d(x)18 sinh(3x)x+18 cosh (3x)4sinh(32) 5-3 cosh(3x)x-2 sinh(3x)2:33 cosh(3x)x+2 sinh(3x)"1b(x) =d(x) =31 = sinh(32), My = -2yp = 1 + 2,(9x² - 6) sinh(3x)-3 cosh (3x)x - 2 sinh(3x)

The given problem is to find the values of u' and v' for the which the particular solution yp =…

Consider the variable coefficient linear non-homogeneous ODE where and where u and are unknown functions. O c(x) = The two linearly independent solutions of the associated homogeneous equation are O (a) Which of the following is the expression for u? O The solution method involves solving two first order ODES for u and v. 23 O 3 cosh(32)2+2 sinh(32) O A particular solution to the non-homogeneous equation can be found using the method of variation of parameters, 3 cosh(3z)z+2 sinh(32) sinh(32)z5 -3 cosh(3x)x-2 sinh(3x) O sinh(3z) 5 3 cosh(32)z+2 sinh(32) a(x) = (b) Which of the following is the expression for u? 23 3 cosh(32)x+2 sinh(3x) -3 cosh(3x)x - 2 sinh(32) 23 sinh(3z) 5 3 cosh(32)2+2 sinh(32) a(z)y" + b(z)y' + c(z)y=d(z) 18 sinh(3r)a + 18 cosh(32) 24 sinh(32) 5 -3 cosh(32)x-2 sinh(3x) z3 3 cosh(32)x+2 sinh(3x) b(x) = d(x) = 31=sinh(32), 3=2 p=1+2, (9z2 _6)sinh(3z) 24 -3 cosh(3x)x - 2 sinh(3x)

Consider the variable coefficient linear non-homogeneous ODE where and where u and are unknown functions. O c(x) = The two linearly independent solutions of the associated homogeneous equation are O (a) Which of the following is the expression for u? O The solution method involves solving two first order ODES for u and v. 23 O 3 cosh(32)2+2 sinh(32) O A particular solution to the non-homogeneous equation can be found using the method of variation of parameters, 3 cosh(3z)z+2 sinh(32) sinh(32)z5 -3 cosh(3x)x-2 sinh(3x) O sinh(3z) 5 3 cosh(32)z+2 sinh(32) a(x) = (b) Which of the following is the expression for u? 23 3 cosh(32)x+2 sinh(3x) -3 cosh(3x)x - 2 sinh(32) 23 sinh(3z) 5 3 cosh(32)2+2 sinh(32) a(z)y" + b(z)y' + c(z)y=d(z) 18 sinh(3r)a + 18 cosh(32) 24 sinh(32) 5 -3 cosh(32)x-2 sinh(3x) z3 3 cosh(32)x+2 sinh(3x) b(x) = d(x) = 31=sinh(32), 3=2 p=1+2, (9z2 _6)sinh(3z) 24 -3 cosh(3x)x - 2 sinh(3x)

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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