The eigenvalues for y" + Ay= 0, y(0) = 0; y'(27) = 0 are (2n-1)2 16 n=1 { n² 1F In=0 n² 1° O 16 In=0 A Sn=1
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![The eigenvalues for y" + Ay = 0, y(0) = 0; y'(27) = 0 are
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- 9 - The eigenvalues An and the eigenfunctions yn for the equation y" + Ay = 0 for the boundary conditions y(0) = 0, y(3) =0 are a) O An NTL , Yn = sin 9. n = 1, 2, 3, ... 3. b) NTL , Yn = sin V3 3 ,n= 1, 2, 3, ... c) , Yn = sin(3nTI), n = 1, 2, 3, ... 3. n2 n2 , Yn = sin(2NAI), n= 1, 2, 3,... d) e) An = n² n², Yn = sin(nTr), n = 1, 2, 3, . .. Boş bırakI need the answer as soon as possible14.) Given the following first order VAR model: Yt = nYt – 1+ et 0.0255 -0.0123 0.9226 where T =C0.0704 0.9072 -0.0267y ~N (:) (O (-0.0123 Elt. 0.0402. (a) Write down the characteristic equation for T. (b) Calculate the 2 eigenvalues for this characteristic equation. (c) Comment on the stability of this VAR system.
- The eigenvalues An and the eigenfunctions Yn of the Sturm-Liouville problem x?y" + xy' + Xy = 0,1 1 In(3) пл In (х) In(3) b) Yn = Bn sin n >1 [In(3)]² ' c) None of these O d) An = n²n², Yn = Bn sin[na In(x)], n > 1 O e) An , Yn = Bn sin ("), n > 1 9 31. Suppose that An is an eigenvalue with eigenfunction yn of y"+y=0, 0When solving the Sturm-Liouville boundary value problem y" - Ay=0, 0SEE MORE QUESTIONSRecommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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