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

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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