Can someone please explain to me how to solve this equation:
x*y''-y*y'=2...where I mus find the condition that the constants a and b must satisfy for y=ax+b to be a solution.Also how can I find the two solutions that satisfy y=3 when x=2.Thanks in advance
Probably I entered a wrong way...
... my reasoning was that the in the DE...
(1)
... with 'initial condition' was possible the 'direct substitution' so that it becomes...
... but of course it's a wrong way ...
I had to remember that a second order non linear DE like (1), where all the variables x,y,y',y'' appear, is in general hard to attack...
Sorry for the waste if time I caused...
Kind regards
Another possible 'attack' to the DE...
(1)
... consists in supposing that y is analytic in x=2 so that is...
(2)
... and that we know and . From (1) we derive first ...
(2)
... and then...
(3)
... that permits us to derive and then ... and then all the derivatives of y in x=2 we want...
Kind regards