Differential Equations

Learners study how to model and solve equations involving derivatives. The topic covers first-order differential equations, separable variables, and their application in growth, decay, and dynamic systems.

Learning Outcomes:
The learner should be able to:

• Define and form differential equations.
• Determine the order and degree of a differential equation.
• Differentiate between a general and particular solution of a differential equation.
• Classify first order differential equations as separable, exact, linear, homogenous.
• Solve first order differential equations using appropriate techniques.
• Apply differential equations to real world scenarios such as predicting population growth/decline, forensic analysis (time of death estimation), drug absorption.
• Model real-world phenomena like population growth and radioactive decay.