$Jy'' + y' -c/y=0$ analytic solution of differential equation

Questions
, ,
1

I would like to solve a differential equation. To find the solution of Xp (or y[x] in the below equation),I tried formulating the equation:

DSolve[J*y''[x] + y'[x] -c/y[x]==0 , y[x], x]

But, I really don’t get a solution.. Not sure what is wrong in the way I defined.. wonder if this could be checked here?

2

J is the unit quaterion. In general, stay away from capital letters to name your variables until you are more familiar with the MMA naming.

3

You try to DSolve[] nonlinear differential equation. The probability to obtain analytical
solution is very small. Try to solve it numerical with NDSolve[].