Final answer:
The student's question seems to involve solving a differential equation with initial conditions, but due to typos, it's impossible to provide an accurate step-by-step solution.
Step-by-step explanation:
The equation provided in the question appears to involve differentiating or solving a differential equation with given initial conditions for a function y(x). Due to the typos in the question, it's challenging to accurately decipher the correct formula or approach for the solution. A typical first-order differential equation of the form (M(x,y)dx + N(x,y)dy = 0) is solvable if it is exact, or can be made exact through integrating factors. For an exact equation, one condition to be satisfied is (∂M/∂y = ∂N/∂x). However, due to the typos, it is not possible to confirm this or provide a step-by-step solution.