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Converting second order ODE's to First Order

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Tygra_1983

Student
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Oct 8, 2021
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GB
Hi Guys,

I have a basic understanding of converting second order ODE's to first order ODE's when you have for example, y'' + y' + y. However, I am stuck if you have a differential equation with just y''. For example, y'' = -f(L-x). How would I convert this equation into a set of first order ODE's?

Many thanks in advance
 
Again that is of the form y'' + y' + y. Thanks anyway.
 
Yes - so do it with the coefficient of y' = 0.
 
Sorry 3DDave, could you explain further on that?
 
Why is it no 0*y instead of a*y, as there is also no y variable?
 
I'm guessing there is no solution. I see no references to that case.

You should be able to integrate twice.
 
Double integration is the way..

When you write differential equation and search, one of the outcomes , the following web site ..


Write your D.E. y'' = -f(L-x) , the solution is the following pdf . doc.
 
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