Definition, including examples of order 0, 1, 2, and k. Homogeneous and inhomogeneous differential equations are defined.

Step-by-step solutions to separable differential equations and initial value problems.

Exponential growth as a differential equation. Worked examples of population growth, radioactive decay, and Newton's Law of Cooling.

Definition, including the order of a differential equation as well as linear, homogeneous, inhomogeneous, and separable differential equations.

Three part question which involves setting up and solving separable differential equations.

Solution (PDF) Pages 3 to 4

Solving a separable ordinary differential equation with a given initial condition.

Solution (PDF) Page 3

Two questions, one of which involves solving a first order differential equation and the other of which involves setting up and solving a differential equation for the temperature of a fish being cooked.

Solution (PDF)^# Page 2

Finding the solution to a first order differential equation.

Solution (PDF)^# Page 1

Finding the solution to a first order differential equation.

Solution (PDF)^# Page 2

Using separation of variables to find the solutions to a differential equation and describing the graphs of these solutions.

Solution (PDF)^#

Eight questions which involve solving separable differential equations, including questions about Newton's Law of Cooling and about air pressure at different altitudes.

Solution (PDF - 4.0 MB) Pages 44 to 47

Applet for plotting the solution to a specified differential equation of one variable with a specified initial condition, along with the approximations given by the left hand, trapezoid, and Runge-Kutta rules.