Final answer:
The general solution of the given differential equation dy/dx = 3y is y = Ce^(3x), where C is a constant.
Step-by-step explanation:
The given differential equation is dy/dx = 3y. To find the general solution, we can separate the variables and integrate both sides. Start by rewriting the equation as dy/y = 3dx. Then, integrate both sides to get ln|y| = 3x + C, where C is the constant of integration. Finally, exponentiate both sides to eliminate the natural logarithm and solve for y, resulting in the general solution y = Ce^(3x), where C is a constant.