1. Construct the solution to the following differential equations and the given boundary conditions: (a) df (2) +5 (2) + 6 f(2) = 0, subject to df (-1) = 0, L) = 0. dz dz Answer: f(0) = 0. (b) d?w ))...

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1. Construct the solution to the following differential equations and the given<br>boundary conditions:<br>(a)<br>df<br>(2) +5 (2) + 6 f(2) = 0,<br>subject to<br>df<br>(-1) = 0, L) = 0.<br>dz<br>dz<br>Answer: f(0) = 0.<br>(b)<br>d?w<br>)) + 27<br>dy?<br>du<br>()) + 5n² w(y) = 0,<br>dy<br>%3D<br>subject to<br>dw<br>(1/4) = 0.<br>dy<br>w(0) = 0,<br>Answer: w(7/16) = 0.<br>(c)<br>d²y<br>dž (z) + k² y(z) = 0,<br>0 and y(L) = 0. The parameter k > 0.<br>subject to y(0) =<br>

Extracted text: 1. Construct the solution to the following differential equations and the given boundary conditions: (a) df (2) +5 (2) + 6 f(2) = 0, subject to df (-1) = 0, L) = 0. dz dz Answer: f(0) = 0. (b) d?w )) + 27 dy? du ()) + 5n² w(y) = 0, dy %3D subject to dw (1/4) = 0. dy w(0) = 0, Answer: w(7/16) = 0. (c) d²y dž (z) + k² y(z) = 0, 0 and y(L) = 0. The parameter k > 0. subject to y(0) =

Jun 04, 2022

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1. Construct the solution to the following differential equations and the given boundary conditions: (a) df (2) +5 (2) + 6 f(2) = 0, subject to df (-1) = 0, L) = 0. dz dz Answer: f(0) = 0. (b) d?w ))...

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