Over determined system of differential equations of the first order with one singularand one supersingular points

In this paper, we investigate over determined system of first-order partial differential equations with one singular and one super singular points in three-dimensional space. A compatibility condition is found for redefined systems of first-order partial differential equations with one singular and one super singular points in three-dimensional space. If the compatibility condition is met, integral representations of a variety of solutions are found explicitly in terms of a single arbitrary constant for which initial data problems (Cauchy-type Problems) can be set.