Question

solve the following ode

Answer 1

\[y=xy'+(y')^{-2}\]

Answer 2

y'^-2 right??

Answer 3

yes

Answer 4

seems non-linear never solved this kind of equation before .

Answer 5

hmm...Clairaut's equation...

Answer 6

i do not know . this is one different Question at the end of book exercise.
Odes by Zill .

Answer 7

it's definitely
http://en.wikipedia.org/wiki/Clairaut's_equation
haven't done this for a while!!

Answer 8

yes looks like it is.

Answer 9

can't find any other way ... and i'm not comfortable with clairaut's equation.

Answer 10

let p=y' and take derivative of both sides

Answer 11

see what happens

Answer 12

ok

Answer 13

i am getting

Answer 14

sorry a typo

Answer 15

@mukushla

Answer 16

u made a little mistake i think..