Differential Equations Summary

Differential Equations

Summary

 

an equation involving derivatives or a derived function is called a differential equation.

differential equations are solved using integration.

when a differential equation is solved, there are two types of solution :

a general solution which will involve an arbitrary constant. this can lead to a solution which is a family of curves. a particular solution where information is given allowing the value of the arbitrary constant to be determined.

two types of differential equations are studied: first order or second order.

 

Key Skills
  • verify the solution to a differential equation
  • find the general solution to a differential equation
  • find the particular solution to a differential equation given the extra information needed.
  • solve second order differential equations

Vocabulary

differential equations, arbitrary constant, general solution,particular solution, integration, derivative, derived function.