Final answer:
To solve the differential equation dy/dx = sin(x - y), an appropriate substitution such as u = x - y can be used, after which the equation can be integrated to find the solution.
Step-by-step explanation:
To solve the differential equation dy/dx = sin(x - y) using an appropriate substitution, we can select a substitution that will simplify the equation. This could involve using trigonometric identities or algebraic manipulation to find a substitution that transforms the equation into a separable form. In cases such as this, using a substitution like u = x - y might be beneficial. Once the equation is simplified, we can then integrate both sides accordingly to find the solution.