Consider the functionalS[91, 92] = [ da [7y/² + 24y4s½ +21y/2² + 4y² + 129192 +993] ·+24y₁y2 .Y₁ = azı 322, Y2 = 21 +222,and where a is a constant.Calculate S₁ [2₁] and S₂[22] for this value of a.

The problem involves evaluating a functional given by an integral expression involving two functions…

Answered: Consider the functional = [ • [ S[y1,…

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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Consider the functional = [ • [ S[y1, 92] dx [7y² +24y₁y2 + 21y2² + 4y? + 12y192 +9y²]. Y₁ = azı - 322, Y1 and where a is a constant. Y2 = 21 +222, Calculate S₁ [21] and S₂[22] for this value of a.