16. Select if the following wavefunctions are normalized, normalizable or oints not normalizable. Normalized Normalizable Not normalizable 1/a(ex/a) evaluated at x from 0 to ∞ sqrt(Tt/2)ex2 evaluated from -o to 00 sqrt(2/e2a)(elax) evaluated at x from -оо to oo

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Q: 10. Find the linearization, L(x,y,z) of the function f (x, y, z) = e* + cos(y + z) at Po (0,",").

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Q: -If the wavefunction (x) = eikx Find the Normalize constant A

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Q: Consider the IVP y''-y'=0 where y(0)=2 and y'(0)=3. Solve it using Laplace transforms

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Q: find the Laplace transforms A preliminary in- of the functions in Problem. tegration by parts may be…

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Q: t, 01 1 a.) f(t) [m (sh w + (cos w - 1)] cos wt + [[ -[sin sin OLL - cos w + sh w]]sin wet dw - 1…

A: Given the function is ft=t0&lt;t&lt;10t&lt;0, t&gt;1

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Q: du d'u cos(-t) du 2- + u(x) = Cos I-2 du dr? sin(a-t)dt, rp u(0) = 0, u' (0) = 0. %3D

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Q: 6. use Lapiace Transform to solve the lmitial valwe problem: y" +y = hlt) , ylo) = 2, y'lo) =0 where…

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Q: 10. Show that the function f(x, y, z) = e³x+4y cos 5z satisfies the Laplace equation.

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Q: What does Cauchys EU theorem guarantee for The IVP:  dy/dt = -(y)^2/2t,  IC: (to,0)

A: Ft,y=-y22tDomain:{t,y∈R2:t≠0}∂F∂y=-ytDomain:{t,y∈R2:t≠0}∴function Ft,y is continous.So there exists…

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Q: (z - 1)dt + (1 – t)dz %3D

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Q: 38. When there is damping, but still no forcing term, the initial value problem becomes y" + 2cy' +…

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Q: du du du + u(x) = cos r- 2- cos(-t) d'u dt-2 / sin(a-t) dt, 2 dt dr? u(0) = 0, u'(0) = 0.

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Q: roblem 2 (EX Cise 3.1.18) Compute the Laplace transform of f (t) using the table of Laplace…

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Q: Wavefunctions 3/2 1 (1s) = ,-Zrlao do 3/2 1 4 (2s) 2 4V27 \do.

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