Having problems solving this diff equation.

(1-x^2)y´+ xy = x for -1 < x < 1

I get the ínt factor to 1/(1-x^2)^0,5, But having problems after that.

Thank you.

Printable View

- March 16th 2008, 11:04 AMecho123Help =)
Having problems solving this diff equation.

(1-x^2)y´+ xy = x for -1 < x < 1

I get the ínt factor to 1/(1-x^2)^0,5, But having problems after that.

Thank you. - March 16th 2008, 11:29 AMJhevon
does post #21 here help?

- March 16th 2008, 11:34 AMecho123
Hello again

Not really,,I understand the general approach to solving a diff equation its just that I cant get the right side to be a single derivate. having problems there. - March 16th 2008, 11:36 AMecho123
Im sorry, I meant the left side =)

- March 16th 2008, 11:39 AMJhevon
ok, so following the steps exactly, you would end up with

again, just following the steps i outlined (we literally don't have to think about this if we know the steps by heart), this becomes

now integrate both sides and continue

look closely at the steps and see what is confusing you. the single derivative is simply the coefficient of y' times y. - March 16th 2008, 11:42 AMecho123
Oh,, I did exatly that but I thought it was wrong. Thank you very much.

- March 16th 2008, 11:43 AMJhevon
- March 16th 2008, 11:46 AMecho123
I messed up when I multiplied the coefficient of y' and y. I Do that to check that im on the right track but this time it turned out bad =(.