MST125. Essential Mathematics 2. Differential Equations

Without authors. — The Open University, 2015. — 70 p.This unit introduces differential equations. A differential equation is an equation that includes derivatives.
This publication forms part of the Open University module MST125 Essential mathematics 2. Details of this and other Open University modules can be obtained from Student Recruitment, The Open University.Introduction.
Differential equations and direct integration
Differential equations.
Direct integration.
Separable differential equations
Separation of variables.
Verifying solutions in implicit form.
Applications of differential equations
Continuous model for population change.
Radioactive decay.
Newton’s law of cooling.
Solving linear differential equations
Linear differential equations.
Constant-coefficient linear differential equations.
The integrating factor method.
Why the integrating factor method works.
Summary and consolidation
Other methods of solving differential equations
Direction fields.
Numerical solutions of differential equations.
Solving differential equations using a computer.
Solutions to activities.