Question

Please help with this..
NONLINEAR ODEs
Using a method of this section or separating variables,findthe general solution.
If an initial condition is given,find also the particular solution and sketch or graph it.

y'=3.2y-10y^2

Answer 1

What are we supposed to do?

Answer 2

first off, you have to have "given condition"
then, just replace y' = dy/dx, \(\dfrac{dy}{3.2y -10y^2}=dx\)
then take integral both sides, then plug the given condition on to find C
Plug that C back to get the whole answer.
I took the course long time ago, not sure whether this logic works or not. just try. :)