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Math Help - Help with linear independence?

  1. #1
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    Help with linear independence?

    Hi, i have a question worth 2 marks. And its obviously so simple, its totally evading me

    Show that y1(x) = x and y2(x) = x^2 are linearly independent

    I was thinking along the lines of Wronskian but i get the answer to be x^2. And of the 2 equations to be linearly independent using Wronskian the
    answer must not equal 0. So im confused.

    Thanks in advance for any help
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  2. #2
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    Quote Originally Posted by Mosser View Post
    Hi, i have a question worth 2 marks. And its obviously so simple, its totally evading me

    Show that y1(x) = x and y2(x) = x^2 are linearly independent

    I was thinking along the lines of Wronskian but i get the answer to be x^2. And of the 2 equations to be linearly independent using Wronskian the
    answer must not equal 0. So im confused.

    Thanks in advance for any help
    Hello,

    you find your problem completely done here: Wronskian - Wikipedia, the free encyclopedia
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    you know, there's a math professor at my school named Mosser
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  4. #4
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    Quote Originally Posted by earboth View Post
    Hello,

    you find your problem completely done here: Wronskian - Wikipedia, the free encyclopedia
    Not really, it appears to include an additional function 1.

    W(y1(x),y2(x))=x^2

    Is whats causing the confusion as x^2 is not a static value. y1 and y2 are linearly independent if x is not 0. Is that correct?
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  5. #5
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    thanks for the help earboth

    but as BlueEagle pointed out in the example on wikipedia there is another function of 1. I can understand the example but am still confused about my original question.

    Would it be correct just to say the 2 equations are linearly independent as long as x doesn't equal 0?
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