Final answer:
The general solution of the given differential equation dy/dx = 3y - 2xy is y = e^(-x^2 + C + 3x).
Step-by-step explanation:
The general solution of the differential equation dy/dx = 3y - 2xy can be found by separating variables and integrating. We rearrange the equation to get dy/y - 3dx = -2xdx and then integrate both sides. This leads to ln|y| - 3x = -x^2 + C, where C is the constant of integration. To solve for y, we exponentiate both sides to get y = e^(-x^2 + C + 3x).