# The Applications of Ordinary Differential Equation (Term Paper Sample)

no specific instruction from professor

just a paper that solve a problem use ode. For example use ode to predict the population or predict a simple economic model or anything use ode to solve

For the linear systems of ordinary differential equations, we will have to consider the effects of some unknown functions on one another. The two by two system of ordinary differential equations will look something like this:

Let’s say that Y has been set to an unknown vector and A has been set as coefficient matrix, then we will have the following matrix equation

Second Theorem: Let’s suppose that the values of coefficient matrix A are in the form of λ = α ± iβ, then the solution will be as following:

It should be noted that both the imaginary and real parts will acts as independent solutions to the ordinary differential equation system.

...### Other Topics:

- Financial Intermediation And The 2007-2009 Financial CrisisDescription: The United States of America faced one of the greatest financial crisis in its economy from the year 2007 to 2009. It was brought about by various changes in the sector, beginning from the refinancing of the house markets to the increase in money supply....5 pages/≈1375 words | 5 Sources | APA | Mathematics & Economics | Term Paper |
- Biological treatment of Total Petroleum Hydrocarbon (TPH) in petroleum sludgeDescription: Mathematics and Economics (Term Paper): Biological treatment of total petroleum hydrocarbon (TPH) in petroleum sludge...9 pages/≈2475 words | 3 Sources | APA | Mathematics & Economics | Term Paper |
- The Applications of Ordinary Differential EquationDescription: For the linear systems of ordinary differential equations, we will have to consider the effects of some unknown functions on one another. ...4 pages/≈1100 words | 2 Sources | APA | Mathematics & Economics | Term Paper |