Determining where a first-order linear initial value problem has a solution and then solving it

Solving a first-order linear initial value problem to determine the concentration of salt in a tank

Solving a first order linear differential equation with an integrating factor and then finding the initial condition so the solution touches the x-axis

Solving an initial value problem to find the amount of salt in a tank with salt water flowing in and out

Solving an initial value problem including air resistance for the path of a thrown ball to determine the maximum height it reaches

Solving an initial value problem using Newton’s Law of Cooling to determine the temperature of a drink left outside as the outdoor temperature changes

Solving an initial value problem to determine the amount of pollution in a lake at any time

Determining an interval in which the solution of a first order, linear initial value problem is certain to exist

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