Areolar linear equations have been investigated in many papers (for example see [2]—[4]). In the first part of this article, we introduce a generalization of the Laplace areolar integral (2). The physical and technical meaning of the areolar Laplace integral is given in [1]. In the second part we search for the solution $W=W(z,\bar z)$ of an areolar linear homogeneous equation (5) in the form of contour Laplace areolar integral (4).