Graduate Verifying Buckling Solution with NDSolve/DSolve

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The discussion centers on the challenge of verifying a manual solution for a buckling problem using computational tools like NDSolve and DSolve in Mathematica, which the user found unsuccessful. They express a need for alternative methods, including MATLAB or other numerical solutions, to obtain the first three alpha values for buckling. The request for assistance is met with a suggestion that it may be overly ambitious to expect help without providing more context or details. The user seeks any feasible way to achieve their goal, emphasizing urgency and openness to various solutions. Overall, the conversation highlights the difficulties in computational verification of buckling solutions.
Aladdin123
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Hi I am trying to verify my manual solution for this problem by any way, so I tried NDSolve, and DSolve, in mathematica with no success. I don't need it in mathematica I just need any way poosible, even matlab, or any other numeric way/soltuion. Can some one help, or even give me the final numbers :D I need the first 3 alphas for a buckling.
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I hope you realize that your request is a bit too much to ask.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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