Mathematics · Calculus of Variations
मान लीजिए y = y(x) ∈ C4([0, 1]) फलनक (functional) I(y) = ∫01 [(d2y/dx2)2 - 2y] dx के लिए चरम बिंदु फलन (extremizing function) है, जो y(0) = 0 = y(1) को संतुष्ट करता है। प्राकृतिक सीमा शर्तों (natural boundary conditions) के साथ दी गई शर्तों को संतुष्ट करने वाला चरम मान y(x) किसके द्वारा दिया गया है?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1x24(x3 + x2 - 2)
- 2x24(x3 - 2x2 + 1)✓
- 3x224(x - 1)2
- 4x24(x - 1)3
सही उत्तर देखें
x24(x3 - 2x2 + 1)
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