# Which of the following functions are eigen functions of 2/x2 + 2/y2? (a) e2xe3y (b) x3y3 (c) sin 2x cos 4y (d) sin 2x + cos 3y. For each eigen function, give the eigen value.

Which of the following functions are eigen functions of ∂2/∂x2 + ∂2/∂y2?

(a) e2xe3y

(b) x3y3

(c) sin 2x cos 4y

(d) sin 2x + cos 3y. For each eigen function, give the eigen value.

(a) e2xe3y

(b) x3y3

(c) sin 2x cos 4y

(d) sin 2x + cos 3y. For each eigen function, give the eigen value.

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