Consider tuo solutions x=X, (t) & x = %½(t) %3D of the differential equation d* x(t) + x(t)= 0 t70, such that dt? x, (0)= 1, dzcE). = 0 tzo x,6)=0, dz(t)| dt tzo The Wronskian WCt) at t=^% is %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider tuo solutions
X=x, (t) 2 x = %2(t)
of the differential eguation
d² x (t) + x(t)= 0.
, t70, sudch that
dt?
x, (0)= 1, dz.ct)
=0
t=o
Xy6)=0, dz(t)|
= [.
%3D
dt
t=0
The Wronskian WCt) =
at t=% is
%3D
x,'
Transcribed Image Text:Consider tuo solutions X=x, (t) 2 x = %2(t) of the differential eguation d² x (t) + x(t)= 0. , t70, sudch that dt? x, (0)= 1, dz.ct) =0 t=o Xy6)=0, dz(t)| = [. %3D dt t=0 The Wronskian WCt) = at t=% is %3D x,'
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