The eigenfunctions for y"- 2y'+ Xy = 0, y(0) = 1, y(1) = 0 are o {c² sin(nrx)} 1 00 O {e sin(")}n-1 2 o {e- sin(nrx)} 1 O {e? sin(") } O {e" sin(nnx)}n 1 o {e * sin(") 2 n=1 O {e-2 sin(naI)}n=1 00 O {e 2" sin(")}* n=1

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A: Cauchy differential equation

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Q: da 3.2x + 0.75y, dt dy 1.66667x + 1.2y. dt For this system, the smaller eigenvalue is and the larger…

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Q: The eigenfunctions for y" + 2y' + dy = y(0) = 1, y(1) = 0 are {e* sin(nræ)_1O {e2r sin(프) 1(…

A: To obtain the eigenfunctions, find the general solution of the differential equation. If m1 and m2…

Q: Find the eigenfunction assuming the second case for the given boundary value problem. y" +ly = 0…

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Q: у" + 2у' + у — 0; у, — хе * X-

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Q: (b) Replace the differential equation given in (1) with a system of 1st order differential equations…

A: The given differential equation ia,y'''-12y''+48y'-64y=12-32e-4t+2e4t