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2) Let T(a + bx + cx² + dx³) = T-1 a la + (-1) b + 1c + ld 3a + (-1) b + 6c+4d la + 0b + 2c + 2d 7a+(-3) b + 12c + 11d]

2) Let T(a + bx + cx² + dx³) = T-1 a la + (-1) b + 1c + ld 3a + (-1) b + 6c+4d la + 0b + 2c + 2d 7a+(-3) b + 12c + 11d]

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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2) Let T(a + bx + cx² + dx³) = a = la + (-1) b + 1c + ld 3a + (-1) b + 6c+4d T-¹(a + bx+cx² + dx³): la + 0b+2c + 2d 7a+(-3) b + 12c + 11d. 3) Let T T[a b] = 5a + 1b + 0c + 1d + (7a+ 1b + 0c + 2d) x + (-4a + 1b + (-1) c+(-2) d) x² + (la + (−1) b + lc + 1d) x³ C
Transcribed Image Text:2) Let T(a + bx + cx² + dx³) = a = la + (-1) b + 1c + ld 3a + (-1) b + 6c+4d T-¹(a + bx+cx² + dx³): la + 0b+2c + 2d 7a+(-3) b + 12c + 11d. 3) Let T T[a b] = 5a + 1b + 0c + 1d + (7a+ 1b + 0c + 2d) x + (-4a + 1b + (-1) c+(-2) d) x² + (la + (−1) b + lc + 1d) x³ C
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