Starting with the partial differential equation for the deflection of the flexible membrane of Problem 3.5 in the form
![1859_d073426c-eb45-471f-bd18-cd921b5e9f76.png](https://secure.tutorsglobe.com/CMSImages/1859_d073426c-eb45-471f-bd18-cd921b5e9f76.png)
formulate the corresponding quadratic functional. Compare the quadratic functional with the total potential energy functional for this problem. Need they be the same?