2. Find g € R[x]<2 so that f¹ f(x)g(x)dx = ſ¹ ƒ(x) cos(™x)dx for all ƒ €R[x] ≤2.3. Suppose that T = L(V) is self adjoint. Let v € V, λ = F and ɛ > 0 beso that ||v|| = 1 and ||Tv − Xv|| < ɛ. Show that there is an eigenvalue \' with|λ\ − \'| < ɛ.

2. We need to find g∈ℝ[x]≤2 which is basically a polynomial over real field (coefficients are taken…

Answered: 2. Find g € R[x]<2 so that R[x]≤2. ſ₁²…

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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2. Find g € R[x]<2 so that R[x]≤2. ſ₁² f(x)g(x)dx = S² ƒ(x) cos(πx)dx for all ƒ €