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1. L(e** + e¬* + x²) S-4 s+1 s3 e3 2. L(sin 2x + e²x+3) : 2 + s2+4 s-2 Hint: e2x+3 = (e2x)(e³) %3D -7s*+2s2 +24 3. L(x* + x² – 7) : 4. L-1(+) = 2e²2x 12 5. L-1(++) = e-2x + cos 2x +sin v3x s2+4 s2+3) V3 + + II

1. L(e** + e¬* + x²) S-4 s+1 s3 e3 2. L(sin 2x + e²x+3) : 2 + s2+4 s-2 Hint: e2x+3 = (e2x)(e³) %3D -7s*+2s2 +24 3. L(x* + x² – 7) : 4. L-1(+) = 2e²2x 12 5. L-1(++) = e-2x + cos 2x +sin v3x s2+4 s2+3) V3 + + II

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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5. L-1(÷+ 1. L(e** + e-* + x²) = + + s-4 s+1 s3 2. L(sin 2x + e2x+3) : e3 + s-2 %D s2+4 Hint: e²x+3 – (e2*)(e³) -7s4+2s?+24 3. С(х* + х2 — 7) %3D s5 4. L- (+) = 2e* + x4 $5 12 = e-2x + cos 2x +sin v3x s2+4 s²+3,
Transcribed Image Text:5. L-1(÷+ 1. L(e** + e-* + x²) = + + s-4 s+1 s3 2. L(sin 2x + e2x+3) : e3 + s-2 %D s2+4 Hint: e²x+3 – (e2*)(e³) -7s4+2s?+24 3. С(х* + х2 — 7) %3D s5 4. L- (+) = 2e* + x4 $5 12 = e-2x + cos 2x +sin v3x s2+4 s²+3,
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