Solving separable differential equations involving Newton's Law of Cooling and orthogonal trajectories

Solving first order linear differential equations

Finding the equilibrium solutions and properties for an autonomous differential equation

Writing and then solving a differential equation for the temperature of a cup of coffee

Writing and then solving an initial value problem for the amount of dye in a pool

Writing and then solving an initial value problem to determine the stopping time and distance of a stone on a smooth surface

Solving an initial value problem using Newton’s Law of Cooling to determine the time it takes for a cake to cool to a given temperature

Solving a separable differential equation to determine how long it takes a population of bacteria to double

Solving linear differential equations and determining the interval in which the solution exists