Consider the dx2 system of CDES, where Xli)=(x()some real - valvcel funetions ,t)and x Ct)X(1) = () x4) , x(0)-(-3)Eigen values and eigen vectorsk= -| - día) eig envalwesLandl2 eigenveetors are v, =a General soutin:X(4)=c+| di (e,- e)eosat - 2le,1c) sündtle,e) cosat + le,-e,) isirota Par ticular sowion:4 eos2t + 6sinLI-) X (4) =- 3 cos 24 t 2sindtQuestions:I> Plot the veotor plot Ci.e: on the x,x - plane)2) Uşing particular'solwtion , approximale vawes of xú)and xCt)Ca) when t=, C6) when te 2C6) when tz 23> what is the maximum valwe of x, in the interval0142. whur does it occur?4)what is the maximum vaweIAcu(?in the sameinter val ? When ddes it oceur?2/2https://www.desmos.com/calculator

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-Plot the veotor plot Ci.e: on the x,X -plane) Using partioular 'solution and xCt)→ Ca) when t=2 , approximade vawes of xú) -, C6) when te 2 %3D Pwhat is the maximom valwe of x, in the interval 2162.when does it oecur? what is the maxímum valve qf x, in the same interval ? When does it occur ? 2/ www.desmos.com/calculator

-Plot the veotor plot Ci.e: on the x,X -plane) Using partioular 'solution and xCt)→ Ca) when t=2 , approximade vawes of xú) -, C6) when te 2 %3D Pwhat is the maximom valwe of x, in the interval 2162.when does it oecur? what is the maxímum valve qf x, in the same interval ? When does it occur ? 2/ www.desmos.com/calculator

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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