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This unit extends the ideas introduced in the unit on first-order differential...
This unit extends the ideas introduced in the unit on first-order differential equations to a particular type of second-order differential equations which has a variety of applications. The unit assumes that you have previously had a basic grounding in calculus, know something about first-order differential equations and some familiarity with complex numbers.
After studying this unit you should:
- be able to solve homogeneous second-order equations;
- know a general method for constructing solutions to inhomogeneous linear constant-coefficient second-order equations;
- know about initial and boundary conditions to obtain particular values of constants in the general solution of second-order differential equations.
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This unit extends the ideas introduced in the unit on first-order differential equations to a particular type of second-order differential equation which has a variety of applications. The unit assumes that you have previously had a basic grounding in calculus, know something about first-order differential equations and have some familiarity with complex numbers.
This free course is an adapted extract from the Open University course MST209 Mathematical methods and models, which is no longer taught by the University. If you want to study formally with us, you may wish to explore other courses we offer in this.
This is an extract from an Open University course which is no longer available to new students. If you found this interesting you could explore more free Mathematics Education courses or view the range of currently available OU Mathematics Education courses.
Copyright & revisions
Originally published: Monday, 13th June 2011
Last updated on: Thursday, 6th March 2014
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