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1. a. Let In = exp (nx) sin (exp (x)) dx. By making an appropriate substitution, or otherwise, demonstrate that I, %3D — еxp (п — 1)х) сos (exp (x)) + (n — 1) еxp ((п -2)х) sin (exp (x) — (п — 1)(n — 2)I,-2- b. Hence, or otherwise, compute exp (бх) sin (exp (х)) dx.

1. a. Let In = exp (nx) sin (exp (x)) dx. By making an appropriate substitution, or otherwise, demonstrate that I, %3D — еxp (п — 1)х) сos (exp (x)) + (n — 1) еxp ((п -2)х) sin (exp (x) — (п — 1)(n — 2)I,-2- b. Hence, or otherwise, compute exp (бх) sin (exp (х)) dx.

Advanced Engineering Mathematics
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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/- 1. a. Let In = exp (nx) sin (exp (x)) dx. By making an appropriate substitution, or otherwise, demonstrate that I, %3D — exp ((п — 1)x) сos (exp (x)) + (п — 1) еxp ((п — 2)x) sin (exp (x)) — (п — 1)(п — 2)I,-2. b. Hence, or otherwise, compute exp (бх) sin (exр (х)) dx.
Transcribed Image Text:/- 1. a. Let In = exp (nx) sin (exp (x)) dx. By making an appropriate substitution, or otherwise, demonstrate that I, %3D — exp ((п — 1)x) сos (exp (x)) + (п — 1) еxp ((п — 2)x) sin (exp (x)) — (п — 1)(п — 2)I,-2. b. Hence, or otherwise, compute exp (бх) sin (exр (х)) dx.
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