- #1
ilyas.h
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Homework Statement
f(x,y) is function who's mixed 2nd order PDE's are equal.
consider k_f:
determine the points on the graph of the parabloid f(x,y) = x^2 + y^2 above the ellipse 3x^2 + 2y^2 = 1 at which k_f is maximised and minimised.
The Attempt at a Solution
is this the langrange equation that I'd use?
[tex]L(x,y,\lambda )=k_{f}(x,y)-\lambda k_{g}(x,y)[/tex]
or maybe it's just:
[tex]L(x,y,\lambda )=k_{f}(x,y)-\lambda g(x,y)[/tex]
im not sure if I should put the g function (3x^2 + 2y^2 = 1) into the k_f. If I do need to do this, then the algebra is very ugly.