dy If lny = sinh ¹, show that (1+z²) dx Hence, by using Maclaurin series, show that esinh-¹x d'y dy = y² and (1+x²) +x dx² dx ¹=1+2+²+0+ - y = 0.
dy If lny = sinh ¹, show that (1+z²) dx Hence, by using Maclaurin series, show that esinh-¹x d'y dy = y² and (1+x²) +x dx² dx ¹=1+2+²+0+ - y = 0.
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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Transcribed Image Text:2
dy
If In y =
sinh¯¹x, show that (1+x²)
dx
Hence, by using Maclaurin series, show that
=
esinh-¹7 =1+x+
y² and (1+x²)
- 12/2² -
+.
d'y dy
+ x·
dx² dx
y = 0.
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