129. A fundamental set of solutions of x'-3-13x is:32 -2(a) x1 = e-2t-3X2 = e-t3X3 = et2(b) xị = e2t-3X2 = e=t1X3 = e' | 2312(c) x1 = et3 3, x2 = e-tX3 = et(d) x1 = e-2t-3X2 = etX3 = e3(e) None of the above.

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Answered: 1 9. A fundamental set of solutions of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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et △ABC be a triangle in S^2 (the two-dimensional sphere). Let the dual point C'∈S^2 of C be defined by the following three conditions:(i) d(C' , A)=π/2(ii) d(C' , B)=π/2(iii) d(C' , C)≤π/2A' and B' are defined analogously. Thus we get a dual triangle △A' B' C'. More precisely, △ABC is a non-degenerate triangle, andit follows (you may assume) that △A' B' C' is too.(question) Are there triangles △ABC in S^2 identical to their own dual △A'B'C'? I would be very thankful if you could provide some explanation with the steps, thank you in advance.

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1 9. A fundamental set of solutions of x' = | -3 -1 3 x is: 3 2 -2 2 (a) x1 = e-2#| -3 , x2 = e-t X3 = e'| 0 2 (b) x1 = e" -3 X2 = e=| 1 X3 = e'| 2 3 2 () (c) x1 = et 3 3, x2 = e-t X3 = e (d) x1 = e- -3 , x2 = e=t X3 = e' 3 (e) None of the above.