Final answer:
The student's question involves correcting and solving a first-order differential equation using appropriate methods such as separation of variables or integrating factors.
Step-by-step explanation:
The question involves solving a first-order differential equation. Here, the student is asked to re-write the equation -o (dy)/(dx) = x² y + cos(6x). To provide assistance, we would begin by first correcting the term '-o' to '-1' or another appropriate constant to represent a standard form of a differential equation. Once the equation is corrected, the methods for solving first-order differential equations can be discussed, potentially involving separation of variables, integrating factors, or other techniques relevant to this type of equation. Since this is an educational platform, it is critical that each step of solving the equation is explained thoroughly to enhance the student's understanding of differential equations.