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The extremum for the variational problem:- SLy + 2yy'-16y"Jdx; y (0)-0; v =1 occurs for the curve (a)Y=sinax (b) Y=VZsin(2x) (c) Y-1-cos4x (d) Y- 1-costx need correct option with clear explanation

The extremum for the variational problem:- SLy + 2yy'-16y"Jdx; y (0)-0; v =1 occurs for the curve (a)Y=sinax (b) Y=VZsin(2x) (c) Y-1-cos4x (d) Y- 1-costx need correct option with clear explanation

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The extremum for the variational problem:- Ly +2yy'-16y Jdx; y (0) =0; v = 1 occurs for the curve (a)Y=sin4x (b) Y=vZsin(2x) (c) Y=1-cos4x (d) Y=" 1-cosax need correct option with clear explanation
Transcribed Image Text:The extremum for the variational problem:- Ly +2yy'-16y Jdx; y (0) =0; v = 1 occurs for the curve (a)Y=sin4x (b) Y=vZsin(2x) (c) Y=1-cos4x (d) Y=" 1-cosax need correct option with clear explanation
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