... −424 3 or⎡⎣499 30 0 133 400 133 400911200⎤⎦⎧⎨⎩c1c2⎫⎬⎭=⎧⎨⎩− 832 −424 3 ⎫⎬⎭ The solution of these equations isc1= −1, 033 .38 59 ,c2=2, 667.2 635 The two-parameter Ritz solution is given byθ(x)=100− 1 033 .38 59x + 2667.2 635 x2θ(0.125) = 12.5 03 ◦C , ... squares method and the Galerkin method give the same equations. Furthermore, the solutionof the Galerkin and least squares methods would be the same as that of the Ritz method. For the collocation method, ... =(βk)=64/50. The coefficients are evaluated to beB11=499 30 0,B12= B21= 133 400,B22=911200,F1= − 832 ,F2= −424 3 or⎡⎣499 30 0 133 400 133 400911200⎤⎦⎧⎨⎩c1c2⎫⎬⎭=⎧⎨⎩− 832 −424 3 ⎫⎬⎭The...