The following Sturm-Liouville problem is given: y"+2y+Ay=0, in the range 0
Posted: Thu Jun 30, 2022 7:50 pm
- The Following Sturm Liouville Problem Is Given Y 2y Ay 0 In The Range 0 X 1 With The Boundary Conditions Y 0 0 Y 1 (22.93 KiB) Viewed 51 times
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The following Sturm-Liouville problem is given: y"+2y+Ay=0, in the range 0<x<1, with the boundary conditions: y(0)=0, y(1)+y'(1)=0. a. Write the equation in Sturm-Liouville form and identify the weight function. (5 points) b. Solve the Sturm-Liouville problem, i.e., find all the eigenvalues and their eigenfunctions. (10 points) c. Verify that the eigenfunction that corresponds to the lowest eigenvalue is orthogonal to the eigenfunction of the second lowest eigenvalue. (10 points)
Posted: Thu Jun 30, 2022 7:50 pm
- The Following Sturm Liouville Problem Is Given Y 2y Ay 0 In The Range 0 X 1 With The Boundary Conditions Y 0 0 Y 1 (22.93 KiB) Viewed 51 times
The following Sturm-Liouville problem is given: y"+2y+Ay=0, in the range 0<x<1, with the boundary conditions: y(0)=0, y(1)+y'(1)=0. a. Write the equation in Sturm-Liouville form and identify the weight function. (5 points) b. Solve the Sturm-Liouville problem, i.e., find all the eigenvalues and their eigenfunctions. (10 points) c. Verify that the eigenfunction that corresponds to the lowest eigenvalue is orthogonal to the eigenfunction of the second lowest eigenvalue. (10 points)