(a) Show that Yn (0) satisfies, = -OnYn: de2 We have, Yn (0) = Ceio„O (1) Differentiating equation (1), we have, dựn = io, Ceio,0 de Again differentiating above equation, we have, ion x im, × Ce®»® de? d´w = i?,?Ceio„0 do? We know, i? above equation can be written as, = -1 and y, (0) = Ce®nº . TH d²wn = -On?Yn- de? Hence proved.
(a) Show that Yn (0) satisfies, = -OnYn: de2 We have, Yn (0) = Ceio„O (1) Differentiating equation (1), we have, dựn = io, Ceio,0 de Again differentiating above equation, we have, ion x im, × Ce®»® de? d´w = i?,?Ceio„0 do? We know, i? above equation can be written as, = -1 and y, (0) = Ce®nº . TH d²wn = -On?Yn- de? Hence proved.
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Transcribed Image Text:(a) Show that Wn (0) satisfies,
d²wn
de?
We have,
Yn (0) = Ceion0
(1)
Differentiating equation (1), we have,
dựn
io, Ceio,0
de
Again differentiating above equation, we
have,
= io, X io, X Cei®n0
de?
do?
We know, i?
above equation can be written as,
= -1 and w, (0) = Celonº . The
d²wn
de²
·Uh,"o-
Hence proved.
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