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Thread: Reduction of order tecnique

  1. #1 Reduction of order tecnique 
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    Hi!

    Is it possible to use Reduction of order technique (by d'Alembert) for solving systems of homogeneus n-order ( n>2) linear ODEs with variable coefficients?


    Thank you!


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  3. #2  
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    http://en.wikipedia.org/wiki/Reduction_of_order


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  4. #3 Re: Reduction of order tecnique 
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    Quote Originally Posted by doctor_cat
    Hi!

    Is it possible to use Reduction of order technique (by d'Alembert) for solving systems of homogeneus n-order ( n>2) linear ODEs with variable coefficients?


    Thank you!
    Why do that ?

    You can always view an n-th order ODE as a system of n first-orde ODEs and then solve the system of first-order ODE in a straightforward manner -- see the other thread that you started.
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  5. #4  
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    Ok, you're right!

    And is it possible to use Reduction of order technique for solving n-order ( n>2 ) systems of homogeneus linear ODEs with variable coefficients?
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  6. #5  
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    Quote Originally Posted by doctor_cat
    Ok, you're right!

    And is it possible to use Reduction of order technique for solving n-order ( n>2 ) systems of homogeneus linear ODEs with variable coefficients?
    Instead of asking, why not try it out on some given system and see what happens.
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  7. #6 Re: hi 
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    Quote Originally Posted by cristiano
    Hello friends.I'm cristiano from spain.Nice to meet you all.In my opinion,you can always view an n-th order ODE as a system of n first-orde ODEs and then solve the system of first-order ODE in a straightforward manner -- see the other thread that you started.Thank you.
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    You have now made three posts. In each one you have parroted the posts of someone else with no clear understanding of what you are parroting. Apparently you have no ability to think for yourself.

    What is your point ?
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  8. #7 Re: hi 
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    Quote Originally Posted by DrRocket

    You have now made three posts. In each one you have parroted the posts of someone else with no clear understanding of what you are parroting. Apparently you have no ability to think for yourself.

    What is your point ?

    Are you accusing me or cristiano?
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  9. #8 Re: hi 
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    Quote Originally Posted by doctor_cat
    Quote Originally Posted by DrRocket

    You have now made three posts. In each one you have parroted the posts of someone else with no clear understanding of what you are parroting. Apparently you have no ability to think for yourself.

    What is your point ?

    Are you accusing me or cristiano?
    cristiano. That is why I quoted him.
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  10. #9  
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    Sorry, been a little lax of late, but who is "cristiano"? I can find no post with this authorship.

    P.S. OK, forget it - admins took him/it out on suspicion of being a bot. (Note to self - must pay more attention here)
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  11. #10  
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    Cristiano has gone by by along with his 7 or 8 total posts. Spamertizments in his/her sig.
    Pleased to meet you. Hope you guess my name
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  12. #11  
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    Quote Originally Posted by (In)Sanity
    Cristiano has gone by by along with his 7 or 8 total posts. Spamertizments in his/her sig.
    "Ray has gone bye bye, Egon."
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