Let ? be a function of ?.(a) If the acceleration ? = ?2x/??2 ≡ ?̈ = ?sin(??) for some constants ? and ?,what is the solution for ?(?)?(b) The above equation should have two arbitrary constants besides ? and?. If ?̇ at ? = 0 is 0 and ? at ? = 0 is -3, what is the solution for ?(?)? 6.Let x be a function of t.(a) If the acceleration a =d²x= * = Asin(wt) for some constants A and w,dt2what is the solution for x(t) ?(b) The above equation should have two arbitrary constants besides A andw. If x at t = 0 is 0 and x att = 0 is -3, what is the solution for x(t)?

Given that d2xdt2=Asinωt To find the solution for x(t).

Let x be a function of t. (a) If the acceleration a = d²x = * = Asin(wt) for some constants A and w dt2 what is the solution for x(t) ? (b) The above equation should have two arbitrary constants besides A and w. If x at t = 0 is 0 and x att = 0 is -3, what is the solution for x(t)? %3D %3D

Let x be a function of t. (a) If the acceleration a = d²x = * = Asin(wt) for some constants A and w dt2 what is the solution for x(t) ? (b) The above equation should have two arbitrary constants besides A and w. If x at t = 0 is 0 and x att = 0 is -3, what is the solution for x(t)? %3D %3D

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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Question

100%

Let ? be a function of ?.
(a) If the acceleration ? = ?²x/??² ≡ ?̈ = ?sin(??) for some constants ? and ?,
what is the solution for ?(?)?
(b) The above equation should have two arbitrary constants besides ? and
?. If ?̇ at ? = 0 is 0 and ? at ? = 0 is -3, what is the solution for ?(?)?