First-order differential equations

Learning outcomes

When you have completed this Program you will be able to:

• Recognize the order of a differential equation

• Appreciate that a differential equation of order n can be derived from a function containing n arbitrary constants

• Solve certain first-order differential equations by direct integration

• Solve certain first-order differential equations by separating the variables

• Solve certain first-order homogeneous differential equations by an appropriate substitution

• Solve certain first-order differential equations by using an integrating factor

• Solve Bernoulli’s equation