a. Let In = strate that exp (nx) sin (exp (x)) dx. By making an appropriate substitution, or otherwise, demon- In exp ((n − 1)x) cos (exp (x)) + (n − 1) exp ((n − 2)x) sin (exp (x)) — (n − 1) (n − 2) In-2. b. Hence, or otherwise, compute exp (6x) sin (exp (x)) dx. ==
a. Let In = strate that exp (nx) sin (exp (x)) dx. By making an appropriate substitution, or otherwise, demon- In exp ((n − 1)x) cos (exp (x)) + (n − 1) exp ((n − 2)x) sin (exp (x)) — (n − 1) (n − 2) In-2. b. Hence, or otherwise, compute exp (6x) sin (exp (x)) 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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Transcribed Image Text:=
J exp (nx) sin (exp (x)) dx. By making an appropriate substitution, or otherwise, demon-
strate that
a. Let In
In = - exp ((n − 1)x) cos (exp (x)) + (n − 1) exp ((n − 2)x) sin (exp (x)) - (n − 1)(n − 2) In-2.
b. Hence, or otherwise, compute
exp (6x) sin (exp (x)) dx .
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Transcribed Image Text:=
J exp (nx) sin (exp (x)) dx. By making an appropriate substitution, or otherwise, demon-
strate that
a. Let In
In = - exp ((n − 1)x) cos (exp (x)) + (n − 1) exp ((n − 2)x) sin (exp (x)) - (n − 1)(n − 2) In-2.
b. Hence, or otherwise, compute
exp (6x) sin (exp (x)) dx .
Solution
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