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Obtain the TSE of h(t) = 2t (1+t)¯¹ in powers of (t – 1). - O-1 + ½(t-1)-(t − 1)² + ½ (t− 1)³ – ½⁄(t − 1)ª 1 O1+(t-1)-(t-1)² + (t-1)³ - 1 16 (t-1)4 1 + ½ (t − 1) − ½ (t − 1)² + § (t − 1)³ + ½ (t− 1)² 16

Obtain the TSE of h(t) = 2t (1+t)¯¹ in powers of (t – 1). - O-1 + ½(t-1)-(t − 1)² + ½ (t− 1)³ – ½⁄(t − 1)ª 1 O1+(t-1)-(t-1)² + (t-1)³ - 1 16 (t-1)4 1 + ½ (t − 1) − ½ (t − 1)² + § (t − 1)³ + ½ (t− 1)² 16

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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Obtain the TSE of h(t) = 2t (1 + t)¯¹ in powers of (t – 1). - O-1 + (t-1)-(t − 1)² + (t − 1)³ – 1 16 (t-1)4 1 O1+(t-1)-(t− 1)² + (t− 1)² – (t-1)4 O1 + (t− 1) – (t − 1)² + § (t − 1)³ + 1/(t− 1)² 1 '1 + ½ (t − 1) + ½ (t − 1)² + § (t − 1)³ + ⁄⁄ (t − 1)4 16 Question 4 Use Laplace transforms to solve the differential equation y" +6y' + 13y = 0, given y(0) = 3 and y' = 7. y = e³x (3 cos 2x + 8 sin 2x) Oy= -e -3x (3 cos 2x + 8 sin 2x) -3x y=e-³² (3 cos 2x + 8 sin 2x) -3x Oy=e y=e=³x (3 cos 2x 8 sin 2x)
Transcribed Image Text:Obtain the TSE of h(t) = 2t (1 + t)¯¹ in powers of (t – 1). - O-1 + (t-1)-(t − 1)² + (t − 1)³ – 1 16 (t-1)4 1 O1+(t-1)-(t− 1)² + (t− 1)² – (t-1)4 O1 + (t− 1) – (t − 1)² + § (t − 1)³ + 1/(t− 1)² 1 '1 + ½ (t − 1) + ½ (t − 1)² + § (t − 1)³ + ⁄⁄ (t − 1)4 16 Question 4 Use Laplace transforms to solve the differential equation y" +6y' + 13y = 0, given y(0) = 3 and y' = 7. y = e³x (3 cos 2x + 8 sin 2x) Oy= -e -3x (3 cos 2x + 8 sin 2x) -3x y=e-³² (3 cos 2x + 8 sin 2x) -3x Oy=e y=e=³x (3 cos 2x 8 sin 2x)
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