Please do q3

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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Please do q3
x² In (c)
Find the exact length of the curve f(x) =
4
Q3
The error function
2
er f(x) =
R
is used in probability, statistics, and engineering.
(a) Show that
S e-t² dt
y' = 2xy +
Leta
1
e dt = -√n[erf(b) – er f(a)].
2
(b) Show that the function y
-
2
√√T
where x = [1,2].
e² er f(x) satisfies the differential equation
Transcribed Image Text:x² In (c) Find the exact length of the curve f(x) = 4 Q3 The error function 2 er f(x) = R is used in probability, statistics, and engineering. (a) Show that S e-t² dt y' = 2xy + Leta 1 e dt = -√n[erf(b) – er f(a)]. 2 (b) Show that the function y - 2 √√T where x = [1,2]. e² er f(x) satisfies the differential equation
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