℗IS X = Soy then-الموضوع :There is no subset linearindependent of yx infinite dimension©dim (x) 0@ X Sinite dimensionhon of the these-Any-non-zero ofrhogonal subsetof Hilberts Peace is@linearly independent6 normal set●Ⓒet orthogonal Set.Complement of orthogonal@@ non of these

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Answered: IS X = Soy then @ There is no subset…

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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Solve second order ode using lie symmetry condition and explain steps clearly in detail. ( ie canonical variable,lie point symmetries,r , s etc ) yy'' - y'^2 = 3y^2 lny( Full calculation and answer ). I have the infinitesimal generator X = d/dx. Can I solve it, find general solution, by using lie symmetry condition, canonical coordinates(r and s), canonical variables. I have to follow these steps to solve this question: 1) find the lie symmetries, 2) find canonical coordinates, 3) substituting canonical variables, 4) solving ODE in new coordinates, 5) Returning to original coordinates- general solution. Can u help me follow these steps in order to answer the question above please?’—> that was the original question. I got y'y'' + yy''' - 2y'y'' = 3y + 6ylny from subbing in X= d/dx, differentiating. I then simplified this equation to: yy''' - y'y'' = 3y + 6ylny, simplifying the original equation. I then introduce canonical coordinates r = y’ and s = y” and substitute that into…
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IS X = Soy then @ There is no subset linear independent of x 6 x infinite dimension біт (x) to DX Sinite dimension hon of the these Any -non Zero of thogonal subset of Hilberts Peace is @ linearly independent 3 normal set - per oto orthogonal Set. D 2 complement offorthogonal @ non of these