|Example 6.12. Prove with the usual notations, that (i) hD = log (1 + A) = - log (1- V) = siiih- (E) (ii) (E2 + E-112)(1 + A)!/2 = 2 + A fiii) A –V = AV = 8² (iv) A³y, = V³y5- %3!

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A Example 6.12. Prove with the usual notations, that
(i) hD = log (1+ A =
(ii) (E2 + E-/2)(1. + A)2 = 2 + A
fiii) A -V = AV = 82
(iv) A³y, = V®yg.
- log (1- V) = ciih- ()
%3D
Transcribed Image Text:A Example 6.12. Prove with the usual notations, that (i) hD = log (1+ A = (ii) (E2 + E-/2)(1. + A)2 = 2 + A fiii) A -V = AV = 82 (iv) A³y, = V®yg. - log (1- V) = ciih- () %3D
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