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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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