Mathematics, 04.08.2019 12:00 anrs14
Find a linear second-order differential equation f(x, y, y', y'') = 0 for which y = c1x + c2x3 is a two-parameter family of solutions. make sure that your equation is free of the arbitrary parameters c1 and c2.
Answers: 1
. Then 
and 
are two fundamental, linearly independent solution that satisfy
, so that 
. Adding 
doesn't change this, since 
.
would give
, so that
, we get
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Find a linear second-order differential equation f(x, y, y', y'') = 0 for which y = c1x + c2x3 is a...
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