Math Puzzle - Zombies!!!

The video presents a unique math puzzle involving a war between 500 humans and 500 zombies. It sets up differential equations to model the dynamics of the war, where humans and zombies die at rates proportional to each other's numbers. The solution involves solving a second-order linear differential equation to find the number of zombies over time. Initial conditions are used to determine constants, and the outcome shows that zombies win with 516 remaining. The video concludes with a simulation of different scenarios, demonstrating how varying initial conditions affect the outcome.

What is the assumption made about the death rate of humans in the war?

How is the rate of change of zombies represented mathematically?

What initial conditions are used to solve for the constants A and B?

What is the expression for the number of zombies as a function of time?

How can we determine who wins the war based on the expressions for humans and zombies?

What is the final outcome of the war in terms of the number of zombies remaining?

What happens to the number of humans and zombies as the war progresses?