Hi all,
I'm currently doing a problem based on reduction of order. The question goes:
Consider the DE
. Given that
, find a second linearly independent solution.
I can see that the solution to this equation is in the form
. That means
. After rearrange the DE to
, I can see that the LDE for
will be of the form
. This simplified to the LDE
.
To solve for
, I found an integrating factor
. Using this integrating factor, solving for
:
Therefore
When integrating to find u, I'm left with this horrible equation:
I feel this is completely wrong.
I was wondering if someone could look over my work here and point me in the right direction.
Thank you in advance.