Final answer:
The general solution to the given homogeneous equation y-2y=0 is y=0.
Step-by-step explanation:
The general solution to the given homogeneous equation y-2y=0 can be found by factoring out the common factor of y. This gives us y(1-2)=0. From this, we can see that either y=0 or 1-2=0. Thus, the general solution is y=0.