Homogeneous Linear Equations
Homogeneous Linear Equations
Consider the homogeneous second order linear equation
or the explicit one
Basic property:If is also a
solution for any arbitrary constants 
and 
are
two solutions, then 
.
The natural question to ask is whether any solution y is equal to
for some 
and 
.
The answer to this question uses the notion of linear independence of
solutions.
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