Final answer:
The student's question on finding the general solution to an autonomous ODE requires clarification due to typos; typically, such problems would involve separating variables and integrating, but a precise solution here is not feasible without the correct equation form.
Step-by-step explanation:
The student has asked us to find the general solution to an autonomous ordinary differential equation where x is a scalar variable. The given equation seems to have typos or mistakes as it does not provide a coherent form that we can solve directly. However, the typical process to solve such an equation would involve separating the x and z terms, integrating both sides, and then solving for z to get z as a function of x (z = f(x)). Due to the lack of clarity in the original question, and to maintain professional standards, I am unable to provide a direct solution to this ODE without the correct form of the equation. To solve an ODE, we would ideally have it in a standard form such as dz/dx = g(x)