Find the solution of the eigenvalue problem y" + lambda y = 0; y(0) = 0; y(1/3) = 0. specifically, you are to: show that the lambda 0. there will be infinitely many! it will take about 1 or 2 pages

Scenario: susan wants to make 2 square flags to sell at a crafts fair. the fabric she wants to buy is 3 meters wide. she doesn't want any fabric left over. what's the least amount of fabric she should buy? question: which equation will susan solve her problem? note: let x represent the length of 1 side of the flag. options: 1) 2x^2 = 4x 2) 8 +2x = 2(4x) 3) 2 * 2 = 4 * 2 4) 4x^2 -2x = 0