Q1:- Determine the steady state temperature at six nodes for steady-state heatconduction in a rectangular section 0

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Answered: Q1:- Determine the steady state…

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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Given, x = c, cost+c, sint is a two-parameter family of solutions of the second-order DE x'"'+x = 0. Find a particular solution of the second-order IVP consisting of this DE and the given initial conditions: (a) x(0) = -1, x'(0) = 8 (b) x(7/2) = 0, x'(x/2)=1 (c) x(7/6) =, x'(T / 6) = 0 2 (d) x(7/4) = V2, x'(7 /4) = 2/2 %3D
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1. a) Using undetermined coefficients, give the general solution to y" + 4y = 9 cos t. b) Use your solution from Part la to find the exact solution to the IVP: y" + 4y = 9 cos t, y(0) = 3, y'(0) = 4 and find y(10) correct to six decimal places. c) Make a plot of your solution in part b for 0
1.74 m/sec 2.18 т/se sec The critical points of the function f(x) = 16z2-2x occur at I = 0, r = ±1.60 O z= 0,1 = ±8.00 O r= 0,x =±2.00 |3| O r= 0, x =±2.67 O z= 0, x =±1.00 umptn

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Q1:- Determine the steady state temperature at six nodes for steady-state heat conduction in a rectangular section 0