Shooting Method. A stea

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Shooting Method. A steady-state heat balance for a 10-m rod can be represented by (d y/dx2)-
0.15y 0 where y is the temperature at location x along the rod. When y(0) = 243, y(10) = 150, h =
2, and z = dy/dx,
%3D
%3D
a. using Euler's method, what is y(10) when zo.= -80?
b. using Euler's method, what is y(10) when zo = -90?
C. using Linear Interpolation, what is the next value of zo to get y(10) = 150?
Transcribed Image Text:Shooting Method. A steady-state heat balance for a 10-m rod can be represented by (d y/dx2)- 0.15y 0 where y is the temperature at location x along the rod. When y(0) = 243, y(10) = 150, h = 2, and z = dy/dx, %3D %3D a. using Euler's method, what is y(10) when zo.= -80? b. using Euler's method, what is y(10) when zo = -90? C. using Linear Interpolation, what is the next value of zo to get y(10) = 150?
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