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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Answer
(a) ( 2 /x 2 + 2 /y 2 )(e 2x e 3y ) = 4e 2x e 3y + 9e 2x e 3y = 13e 2x e 3…View the full answer
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