s-4 s+1 2. L(sin 2x + e2x+3) = . s²+4 s-2 Hint: e²x+3 = (e2x)(e³) -7s*+2s²+24 3. L(x* + x² – 7)

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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Question
1. L(e4* + e-x + x²) =
s-4
s+1
s3
2. L(sin 2x + e2x+3) = +
s2+4
s-2
Hint: e2x+3 = (e²2x)(e³)
-7s++2s2 +24
3. С(x* + x2 — 7) %3
$5
4. L-1(+3)=2e2x +주
= 2e2x +
s-2
5. L-1(++ = e-2x + cos 2x +sin v3x
s+2
s2+4
s2+3.
+
Transcribed Image Text:1. L(e4* + e-x + x²) = s-4 s+1 s3 2. L(sin 2x + e2x+3) = + s2+4 s-2 Hint: e2x+3 = (e²2x)(e³) -7s++2s2 +24 3. С(x* + x2 — 7) %3 $5 4. L-1(+3)=2e2x +주 = 2e2x + s-2 5. L-1(++ = e-2x + cos 2x +sin v3x s+2 s2+4 s2+3. +
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