Hello, I am having a hard time solving an ODE. Any help witll be grealy appreciated.
Below is the ODE i am trying to solve.
As you can see, I am trying to solve for η, and 
, 
and 
are just constants. The problem is that v(r) is a function of r which is defined over r= [0 1]. (and same for 
) And of course i only need to solve η for r = [0 1].
I looked at many examples, but i could not find any that resembles my equation.
The initial conditions are η=0, and r ≈ 0.
Before you tell me that I can just solve it by integrating it both sides, I have solved it that way, but i just want to learn how to solve such ODEs without integrating it.
Thanks in advance!!
