In this article, you will get the answer of Find the curves on which the functional 0∫1 [(𝑦′)2 + 12𝑥𝑦] 𝑑𝑥 with 𝑦(0) = 0 𝑎𝑛𝑑 𝑦(1) = 1 from Model question paper 1 of Transform Calculus, Fourier Series and Numerical Techniques[M3] or 21MAT31.
10.c) Find the curves on which the functional 0∫1 [(𝑦′)2 + 12𝑥𝑦] 𝑑𝑥 with 𝑦(0) = 0 𝑎𝑛𝑑 𝑦(1) = 1
Answer:
![Find the curves on which the functional 0∫1 [(𝑦′)2 + 12𝑥𝑦] 𝑑𝑥 with 𝑦(0) = 0 𝑎𝑛𝑑 𝑦(1) = 1](https://i0.wp.com/vtuupdates.com/wp-content/uploads/2023/03/image-16.png?resize=559%2C1024&ssl=1 "Find the curves on which the functional 0∫1 [(𝑦′)2 + 12𝑥𝑦] 𝑑𝑥 with 𝑦(0) = 0 𝑎𝑛𝑑 𝑦(1) = 1")