What you have found so far is fine.
I suggest writing as a Taylor series, then you can integrate it term by term...
Problem:
Solve the following equation:
Solution:
Its Bernoulli's Equation in y
Let
Multiply the equation by :
Which is:
Or:
Which is a Linear Equation in t, the problem here is I can't find the Integrating Factor
Since I can't find
Maybe I did something wrong?