Final answer:
To solve the differential equation dy/dx = y^2 - 4, neglecting solutions where y is constant, you can use separation of variables and integrate both sides of the equation.
Step-by-step explanation:
To solve the differential equation dy/dx = y^2 - 4, neglecting solutions where y is constant, we can use separation of variables. First, rearrange the equation to isolate dy and dx: dy = (y^2 - 4) dx. Then, divide both sides by (y^2 - 4) to separate the variables: 1/(y^2 - 4) dy = dx. Integrate both sides: ∫1/(y^2 - 4) dy = ∫dx. This will give you the solution to the differential equation.