Final answer:
The question seems to involve solving a first-order differential equation with a given initial condition. The proper context and equation formatting are needed to proceed with the separation of variables and integration to find the specific solution.
Step-by-step explanation:
The provided equation appears to be a differential equation of the form dy/dx + x^3/y +2 = 3x, with an initial condition of y(1) = 1.
However, without the correct formatting or context, it's challenging to provide a definitive solution.
If this equation is indeed a first-order separable differential equation, the general approach would be to separate the variables y and x and then integrate both sides.
In this case, we would need correct formatting to proceed with the separation of variables.
With proper context, we could then apply the initial condition to find the particular solution to the initial value problem.