First we write the DE as...
(1)
... and then we set...
(2)
Now combining (1) and (2) we arrive to write...
(3)
... which is linear in ...
Kind regards
I have a problem I am working on:
xy - dy/dx = e^(-3x^2/2) * y^4
If I solve this using the Bernoulli equation then I have n = 4, 1-n = 3.
I make the substitution v = y^3 , y = v^1/3
I'm have a little problem with the next step of finding dx/dy. I'm pretty sure once I find this then I can substitute these values into the DE to get a linear DE that can then be solved.