.1) The general solution of the equation y" +y =-5e-* , is:o y(x) = Ce-x + ez (Acosx + Bsinx)--O y(x) = Ce-* + ez (Acosx + Bsinx) -xe-xOy(x) = Ce-* + ez(Acosx + Bsinx) +xe-*%3D) y(x) = Ce-* + ez (Acosx + Bsinx) +e-*%3D

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Answered: .1) The general solution of the…

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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Find a general solution to (ax+b)'y'"+a(ax+b)y'- a? (ax+b)D, where a,b >0 with ax +b >0 for all x on a certain interval. Select one: O a.y c,(ax+b) +c,(ax+b) + 2b2 a+b (ax+b) In(ax+b) O b.y=c,(ax+b) + b2 (ax +b) In(ax +b) 2a +c2(ax+b)+ O c.y=c, (ax+b)b +c,(ax+b) + b2 (ax+b) In(ax+b) 2a a+b a? O d.y c,(ax+b) ab +C2+ 2b (ax +b) In(ax+b) 26 O e. y=c,(ax +b)+c,(ax+b) b +(ax+b) a In(ax+b) ofy c(ax+b) +c(ax+b) + b (ax+b)b In(ax +b) 2a2
F * " * " ii. Section II, problem 2: Sketch the solutions passing through the points (2.1) and (4,0). * . " 7 " 17 " 17 " 1 " " 12 >10 -8 L 1 1 1 1 1 // // VA 17 7 7 72 1 1 " " -1 0 / 1 6 1 1 / 8 7 10/ 12
For the difference equation given by y(k + 1) + y(k) = 3 (1/2)* with y(0) = 1 Find the expression of Y(z) Y(z) = (z + (5z/2)) / ((z+ 1) (z - 0.5)) а. b. Y(z) = (5z/ 2) / ((z + 1) (z - 0.5)) С. Y(z) = z/ ((z + 1) (z - 0.5)) d. others O e. Y(z) = (z + z) / ((z + 1) (z - 0.5)) %3D
solve 1 - x x(x + 1) S = (-1,0) U [1,00) 0 الخيار رقم 1 [-1,0] O (-1, 0] O
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.1) The general solution of the equation y" + y =-5e- , is: - y(x) = Ce-* + ez(Acosx + Bsinx) -e-* O y(x) = Ce-* + ez(Acosx + Bsinx)-xe-* %3D )y(x) = Ce-* + ez (Acosx + Bsinx) +xe-* %3D ) y(x) = Ce-x + ez(Acosx + Bsinx) +