Consider the constants a b c and the functionfx y ax2 bxy
Consider the constants A, B, C and the function
f(x, y) = Ax^2 + Bxy + Cy^2.
Show that the only choice of coefficients A, B, C giving ∂^2f/∂x^2+∂^2f/∂y^2= 2,
are A=1-s2
B=s1
C=s2
where s1, s2 are arbitrary.
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