Find the first four nonzero terms of two linearly independent series solution about x=0 for the equation.

2(x^2)y" - xy' + (1 + x^2)y = 0

x0

Then, find the Wronskian of these two solutions and form the general solution

Question

Find the first four nonzero terms of two linearly independent series solution about x=0 for the equation.

2(x^2)y" - xy' + (1 + x^2)y = 0

x>0

Then, find the Wronskian of these two solutions and form the general solution

jamesj · Answer

So, what's causing you trouble here?  Write down the series and begin to grind away.  It takes some careful work, but satisfying once you have 'em

anonymous · Answer

The truth is , I don;t even know how to start . T.T

To be specific, I don't know how to find series solution .

jamesj · Answer

You must have covered this in lectures, no?

jamesj · Answer

Look in your text book.  It will work an example or two.  Read the examples, copy one out; makes sure you understand all the steps.

Then come back to this.  It's sufficiently complicated that it would be a bit of a fool's errand to try and teach you this from scratch here.

jamesj · Answer

Once you understand the theory, if you still have problems with this question, ask us again and someone will help.

anonymous · Answer

Got it man . Will take a while . Thanks a lot yo . I had problem identify the scope of the section covered in lecture cuz I am still kind of confused over certain things especially the chapter involving series . 

But thanks for the advice and link . =)