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3. (D² + 4)y = Ost<3 3t +2 t23 y(0)=0, y'(0)=1 Find L{y} {f}T • 8(s² +4) 3e-3s 1le-3s s2 (s2 +4) s(s2+4) L{y} = 7+4 3e-3s + 8e-3s s(s2 +4) 82 (s2 +4) s(s²+4) L{y} = 1+ + Зе 3s 8e-3s s2 °L{y} = 4+ (6? +4) 3. 3e-3s le-3s 82+4 - s2 (s² +4) s(s2+4)

3. (D² + 4)y = Ost<3 3t +2 t23 y(0)=0, y'(0)=1 Find L{y} {f}T • 8(s² +4) 3e-3s 1le-3s s2 (s2 +4) s(s2+4) L{y} = 7+4 3e-3s + 8e-3s s(s2 +4) 82 (s2 +4) s(s²+4) L{y} = 1+ + Зе 3s 8e-3s s2 °L{y} = 4+ (6? +4) 3. 3e-3s le-3s 82+4 - s2 (s² +4) s(s2+4)

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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47.
(D2 +4)y = Ost<3 3t +2 t23 y(0)=0, y'(0)=1 Find L{y} °L{y} = 7+ 3e-3s 1le-3s s(s2+4) s2 (s² +4) s(s2+4) L{y} 3. 3e -3s 8e-3s %3D s2+4 (s2+4) s2 (s2 +4) s(s2 +4) L{y} = 1 + + -3s 3e 8e-3s s2 °L{y} = + 1 3 3e -3s le-3s s2+4 s(s2+4) 82 (s2+4) s(s2+4)
Transcribed Image Text:(D2 +4)y = Ost<3 3t +2 t23 y(0)=0, y'(0)=1 Find L{y} °L{y} = 7+ 3e-3s 1le-3s s(s2+4) s2 (s² +4) s(s2+4) L{y} 3. 3e -3s 8e-3s %3D s2+4 (s2+4) s2 (s2 +4) s(s2 +4) L{y} = 1 + + -3s 3e 8e-3s s2 °L{y} = + 1 3 3e -3s le-3s s2+4 s(s2+4) 82 (s2+4) s(s2+4)
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