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1. The deflection along a non-uniform cantilever beam of length 2 units is governed by the boundary value problemi d² dr² {EI (*) (*)]} =f(r), y(0)=y' (0) = 0, y' (2)=y" (2) = 0 where f(x) = 2 and EI (2) = 17 Solve the boundary value problem for the deflection y(x).

1. The deflection along a non-uniform cantilever beam of length 2 units is governed by the boundary value problemi d² dr² {EI (*) (*)]} =f(r), y(0)=y' (0) = 0, y' (2)=y" (2) = 0 where f(x) = 2 and EI (2) = 17 Solve the boundary value problem for the deflection y(x).

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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1. The deflection along a non-uniform cantilever beam of length 2 units is governed by the boundary value problem d? EI (2) v (2))} = f(2), v (0) = ' (0) = 0, "(2) = /" (2) = 0 =f (r), y (0) = y (0) = 0, y" (2) = y/" (2) = 0 dr2 (r) 1 where f (x) = 2 and EI (r) : 1+* Solve the boundary value problem for the deflection y (r).
Transcribed Image Text:1. The deflection along a non-uniform cantilever beam of length 2 units is governed by the boundary value problem d? EI (2) v (2))} = f(2), v (0) = ' (0) = 0, "(2) = /" (2) = 0 =f (r), y (0) = y (0) = 0, y" (2) = y/" (2) = 0 dr2 (r) 1 where f (x) = 2 and EI (r) : 1+* Solve the boundary value problem for the deflection y (r).
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