I would really appreciate it if someone could show me the steps to how to solve such a differential equation.

Thank you very much.

- Apr 4th 2011, 06:07 PMiPodNeed help with how to solve a certain type of differential equation
I would really appreciate it if someone could show me the steps to how to solve such a differential equation.

Thank you very much. - Apr 4th 2011, 06:45 PMAckbeet
There are at least a couple of options:

1. Use the eigenvalue/eigenvector diagonalization approach.

2. Eliminate one variable to get a second-order DE.

You can check those out at Chris's DE tutorial. Is a method specified for this problem, or can you use any method? - Apr 4th 2011, 07:17 PMiPod
its through the method of finding eigenvalues/vectors however i have no idea how to do so - if theres a tutorial online, id be very greatful

- Apr 4th 2011, 07:24 PMProve It

.

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Now you can probably find an integrating factor to turn this into an exact equation. - Apr 4th 2011, 07:29 PMiPod
:| you are amazing

but ive forgotten how to find the integrating factor for exact equations, could you please remind me :) - Apr 4th 2011, 08:00 PMProve It
- Apr 4th 2011, 08:21 PMTheEmptySet
First write the system as a matrix.

Let

And

Now we have

Here is a link on how to solve a matrix system ODE. Scroll down a bit to find the computation of eigenvalues and eigenvectors section. They also have examples of this type of problem.

Eigenvalues and Eigenvectors Technique