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Is the function x3y4 an eigenfunction of the operator xd/dx+yd/dy. If so, what is the eigenvalue? The function x3y4 is an eigenfunction of the operator xd/dx+yd/dy. The eigenvalue is 1 . The function x3y4 is an eigenfunction of the operator xd/dx+yd/dy. The eigenvalue is 6 . The function x3y4 is an eigenfunction of the operator xd/dx+yd/dy. The eigenvalue is 7 . The function x3y4 is an eigenfunction of the operator xd/dx+yd/dy. The eigenvalue is 9 . The function x3y4 is not an eigenfunction of the operator xd/dx+yd/dy