Differential Equations

Study of equations involving derivatives and their applications.

What Are Differential Equations?First-Order Differential EquationsSecond-Order Differential Equations
Systems of Differential EquationsPartial Differential EquationsNonlinear Differential Equations and Chaos
Modeling Population GrowthEngineering Vibrations and OscillationsMedical and Biological Applications
How to Approach Differential Equation ProblemsTips for Test Day Success
What Are Differentia...First-Order Differen...Second-Order Differe...Systems of Different...Partial Differential...Nonlinear Differenti...Modeling Population ...Engineering Vibratio...Medical and Biologic...How to Approach Diff...Tips for Test Day Su...
Study Strategies

Tips for Test Day Success

Get Ready, Stay Ready

  • Practice, practice, practice: Work through lots of different problems.
  • Know the common forms: Recognize standard types of equations and the best methods to solve them.
  • Memorize key formulas: Like integrating factors and characteristic equations.
  • Show your work: Partial credit is your friend if you explain your reasoning.
  • Stay positive and breathe: Mistakes happen—move on and come back if you get stuck!

The Night Before

Review your notes, get a good sleep, and trust your preparation.

Examples

  • Reviewing how to solve both first- and second-order equations.

  • Remembering to double-check your answers by plugging them back in.