Mathematics · Calculus of Variations
Let y = y(x) ∈ C4([0, 1]) be an extremizing function for the functional I(y) = ∫01 [(d2y/dx2)2 - 2y] dx, satisfying y(0) = 0 = y(1). Then the extremal y(x) satisfying the given conditions along with the natural boundary conditions is given by:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1x24(x - 1)3
- 2x224(x - 1)2
- 3x24(x3 - 2x2 + 1)✓
- 4x24(x3 + x2 - 2)
Correct answer
x24(x3 - 2x2 + 1)
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
👥
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Online Test Series
Start Free Mock Test →Preparing for Mathematics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Chapter Practice
Practice Calculus of Variations MCQs →Want more practice questions on Calculus of Variations?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Calculus of Variations