Final answer:
The solution to the differential equation y+3y+9y=0 is y = 0.
Step-by-step explanation:
To find the solutions to the differential equation y+3y+9y=0, we need to solve for y. We can start by factoring out y from each term: y(1+3+9) = 0. Simplifying, we get 13y = 0. To solve for y, divide both sides of the equation by 13: y = 0/13. Therefore, the solution to the differential equation is y = 0.