Consider the integral 2 dy S = + 12ry dx dx where y(x = 0) = 0 and y(x =1) =1. Find the function y(x) for which the integral S is an %3D %3D extremum.

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Consider the integral
2
dy
S =
+ 12xy dx
dr
where y(x = 0) = 0 and y(x =1) =1. Find the
function y(x) for which the integral S is an
extremum.
Transcribed Image Text:Consider the integral 2 dy S = + 12xy dx dr where y(x = 0) = 0 and y(x =1) =1. Find the function y(x) for which the integral S is an extremum.
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