Solve by variation of parameters: x y" - 4 y' = x^4

[hank]

Hi guys.
I've been working on this one for about an hour and a half and just can't get it.

Here's the problem:

Solve by variation of parameters xy" - 4y' = x^4.

Please help.

Thanks,
--Hank

 

[mmm4444bot]

Hi Hank:

Did you read the post titled, "Read Before Posting"?

You worked over one hour, and you have nothing at all to show for that time. Why is this?

~ Mark :?

 

[Deleted member 4993]

Hi guys.
I've been working on this one for about an hour and a half and just can't get it.

Here's the problem:

Solve by variation of parameters xy" - 4y' = x^4.

Please help.

Thanks,
--Hank

If you need help in reviewing "variation of parameter in ODE" - outside your textbook - please go to:

http://www.math.oregonstate.edu/home/pr ... o_var.html

 

[hank]

Re:

Hi Hank:

Did you read the post titled, "Read Before Posting"?

You worked over one hour, and you have nothing at all to show for that time. Why is this?

~ Mark :?

My apologies.
I'll post what I have when I get back home tonight.

Thanks.

--Hank

 

[qpmathelp]

make the coefficient of y" unity by dividing by x

find CF in the form Ay1 + By2 (using trial and error or some other method)
find the wronskian
and then find the PI as shown in the following page

http://keral2008.blogspot.com/2008/11/v ... ethod.html

disclaimer:
the data on the linked page need not be accurate. you use the information at your own risk.