Thread: Help =)

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.

Originally Posted by echo123

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.

does post #21 here help?

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.

Im sorry, I meant the left side =)

Originally Posted by echo123

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.

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.

Oh,, I did exatly that but I thought it was wrong. Thank you very much.

Originally Posted by echo123

Oh,, I did exatly that but I thought it was wrong. Thank you very much.

you're welcome

next time have more confidence in yourself and tell us what you did, so we can give you a pat on the back

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 =(.