Show that 2²) 2 (¡ f(x) dx + ½ (b² − a²) [[y yf(x) + xg(y)dy dx = ½¼½ (d² − c²) <²) (1 g(y)dy

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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b d
· [ [ yf(x) + xg(y)dy dx = }(d² – c²)
a c
2. Show that
(†ƒ(2)dx) +
f(x) dx +(b²-a²)
+ 3 (1²2-0²) (1962
2)
g(y)dy
a
Transcribed Image Text:b d · [ [ yf(x) + xg(y)dy dx = }(d² – c²) a c 2. Show that (†ƒ(2)dx) + f(x) dx +(b²-a²) + 3 (1²2-0²) (1962 2) g(y)dy a
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