6. S² (5ex - e)dx

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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Question

Find the second derivative (i.e., general solution) of each equation then solve for the particular solution
using 2nd Order Accurate FFD, 2nd Order Accurate BFD, and 4th Order Accurate CFD. Use ℎ = 0.001. 

Find the general solution first before using the required numerical integration method.
Trapezoidal (Use n = 9)
5. (5√x-dx
0
6. S²(5ex - e)dx
Simpson's One-Thirds (Use n = 10)
(5x82x² + x + 3) dx
7.
8. fi(sm)dx
4
0
3 tan x
Simpson's Three-Eighths (Use n = 12)
9.
²) dx
0 3x²+3
10. (2 sin x + 3cos 2x) dx
Transcribed Image Text:Find the general solution first before using the required numerical integration method. Trapezoidal (Use n = 9) 5. (5√x-dx 0 6. S²(5ex - e)dx Simpson's One-Thirds (Use n = 10) (5x82x² + x + 3) dx 7. 8. fi(sm)dx 4 0 3 tan x Simpson's Three-Eighths (Use n = 12) 9. ²) dx 0 3x²+3 10. (2 sin x + 3cos 2x) dx
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