1. 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

2. Originally Posted by Mosser
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

3. you know, there's a math professor at my school named Mosser

4. Originally Posted by earboth
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?

5. 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?