A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
Solve :
y' = (xy+2)/(1x^2)
anonymous
 5 years ago
Solve : y' = (xy+2)/(1x^2)

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0see this will be a series solution... let \[y=x ^{m}\sum_{n=0}^{\infty}a _{n}x ^{n}\] \[y'=(m+n)\sum_{n=0}^{\infty}a _{n}x ^{m+n1}\] \[(1x ^{2})(m+n)\sum_{n=0}^{\infty}a _{n}x ^{m+n1}=\sum_{n=0}^{\infty}a _{n}x ^{m+n+1}+2\] now in both side you have to equate the power of x and have to evaluate coefficient a0,a1,a2 amd hence the series....

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i took this as a normal DE, found integrating factor of sqrt(1x^2) found solution \[y = \frac{2\sin^{1} x}{\sqrt{1x ^{2}}}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[(m+n)\sum_{n=0}^{\infty}a _{n}x ^{m+n1}(m+n)\sum_{n=o}^{\infty}a _{n}x ^{m+n+1}=\sum_{n=0}^{\infty}a _{n}x ^{m+n+1} +2\] \[ma _{0}x ^{m1}+(m+1)a _{1}x ^{m}+(m+n+2)\sum_{n=0}^{\infty}a _{n+2}x ^{m+n+1}(m+n)\sum_{n=0}^{\infty}a _{n}x ^{m+m+1}\]=\[\sum_{n=0}^{\infty}a _{n}x ^{m+n+1}+2\]from here obviously ma0=0, (m+1)a1=0, and so on...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0see what dumbcow has got , it also can be represented by a series and the coefficient will be what you find from this equation... the general way to do this is for series solution......it always works...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ggabnore i think u have understood the way to solve this type of DE

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yeah.. I really don't think I'm expected to know this for my course, the questions aren't this extreme. But thanks everyone for the replies.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.