n=0 15. Use Maclaurin series to evaluate the limit. lim x→0 n=0 x²-3x+3 arctanx x5 E y²=X²³+

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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15

14. Find the sum of the series.
(-1) ¹²n
32n (2n)!
(2) Σ
n=0
15. Use Maclaurin series to evaluate the limit.
16. Solve the following initial value problem.
3x² - sinx
2y
2
313
لالم
lim
x-0
dy
dx
Saydy S3x-Sinxdx
y dy = x² + 105 X H
y =√x²³²+ co₂x + ²
3
17. Solve the first-order linear equation y + 2xy = 3x²e-².
SIG) · Q(X) LY
(b) Ỹ ( - !
Σ
n=0
x³-3x+3 arctan x
(-1) "2"
n!
ts
y²=X²³4
4=0+
4=1+(
y(0) = -2
P(x) = 2x
I(X) =
ANSWERS TO A SAMPLE MATH 1175 FINAL EXAM
dy +2x+y = 3x² ex
Transcribed Image Text:14. Find the sum of the series. (-1) ¹²n 32n (2n)! (2) Σ n=0 15. Use Maclaurin series to evaluate the limit. 16. Solve the following initial value problem. 3x² - sinx 2y 2 313 لالم lim x-0 dy dx Saydy S3x-Sinxdx y dy = x² + 105 X H y =√x²³²+ co₂x + ² 3 17. Solve the first-order linear equation y + 2xy = 3x²e-². SIG) · Q(X) LY (b) Ỹ ( - ! Σ n=0 x³-3x+3 arctan x (-1) "2" n! ts y²=X²³4 4=0+ 4=1+( y(0) = -2 P(x) = 2x I(X) = ANSWERS TO A SAMPLE MATH 1175 FINAL EXAM dy +2x+y = 3x² ex
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