A system of two second order differential equations

[jeffro06]

I was wondering what the best method is to solve two second order differential equations that are coupled. I need to solve it by hand and write my own code so I cannot use built in functions in matlab, etc. At time (0), displacement and velocity are 0 with an initial acceleration which is dependent on pressure as a function of time.

 

[Tide]

Perhaps a little more detail would be helpful. Are these ordinary DEs? Linear? Homogeneous?

 

[J77]

...and...

Is it a computational project?

What language do you use?

fwiw, if it is, just write a simple Euler integration code (after putting the equations into first order form), see if it works and then compare with results from an RK4 code...

 

[jeffro06]

I didn't know that I could put them into 4 first order equations, but I did it and it worked fine. Thank you.