Final answer:
The differential equation given is a first-order, non-linear equation that can be solved by separating variables and integrating, but a general solution is likely to be implicit or involve an arbitrary constant.
Step-by-step explanation:
To determine the solution of the differential equation 2x cosec 2y ṕ∗/ₓ = 2x − ln(tan y), we need to solve for y as a function of x. This is a first-order, non-linear differential equation.
The equation can be manipulated to separate the variables and then integrated on both sides. However, without clear initial conditions or a particular interval, the general solution will involve an implicit function or an arbitrary constant.