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

18.01

*Single Variable Calculus*, Fall 2005

Prof. Jason Starr

**Course Material Related to This Topic:**

18.01

*Single Variable Calculus*, Fall 2005

Prof. Jason Starr

**Course Material Related to This Topic:**

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

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

- Complete practice problem 1 on pages 1–2
- Check solution to practice problems 1 on pages 3–4

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

18.01

*Single Variable Calculus*, Fall 2005

Prof. Jason Starr

**Course Material Related to This Topic:**

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

18.013A

*Calculus with Applications*, Spring 2005

Prof. Daniel J. Kleitman

**Course Material Related to This Topic:**

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

18.01

*Single Variable Calculus*, Fall 2005

Prof. Jason Starr

**Course Material Related to This Topic:**

- Complete exam problem 3 on page 5
- Check solution to exam problem 3 on page 3

18.01

*Single Variable Calculus*, Fall 2006

Prof. David Jerison

**Course Material Related to This Topic:**

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.

- Complete exam problems 10–1 on page 1
- Check solution to exam problems 10–1 on page 2

Finding the solution to a first order differential equation.

- Complete exam problem 5b on page 1
- Check solution to exam problem 5b on page 1
- Complete exam problem 5b on page 2
- Check solution to exam problem 5b on page 2

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

- Complete exam problem 7 on page 1
- Check solution to exam problem 7 on page 1

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

18.01

*Single Variable Calculus*, Fall 2006

Prof. David Jerison

**Course Material Related to This Topic:**

- Complete exam problems 3F–1 to 3F–8 on pages 25–6
- Check solution to exam problems 3F–1 to 3F–8 on pages 44–7

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.

18.013A

*Calculus with Applications*, Spring 2005

Prof. Daniel J. Kleitman

**Course Material Related to This Topic:**

- Interact with a Java Simulation