## Solving a System Equation

Posted by Jeff on Dec 30, 2009 in Differential Equations, Linear Systems

TweetWhy do we need to solve system equations? Often during a course you will need to be able to solve a system equation for its roots.  These roots can be complex, distinct, or repeated.  These problems usually arise when working with linear systems or differential equations.  A system equation is formatted as follows: System Equation: [...]

## Laplace Transforms

TweetWhat is the Laplace Transform method? The Laplace Transform is a method that simplifies integral and differential equations into algebraic equations. This practice is commonly used to solve for a function out of a differential equation, which otherwise may have been unsolvable or very difficult. The following integrals can be used to transform between where [...]

## Separable Differential Equations

Posted by Jeff on Jul 27, 2009 in Differential Equations, Math

TweetSeparable Differential Equations These are 1st order differential equations, they can be written in the form Why is it called a first order equation? You can tell the order of any equation by looking at the highest power of the differential ( on either side of the equation,  the below case, we have a FIRST [...]