I studied differential equations back in the day but we never covered second-order nonlinear equations (that I can recall). I have the following equation:
I tried to follow this
but the "2" out front is throwing me off.
I am not a student and this is not homework.
I am fairly certain that the first-order solution to this problem will be a Bernoulli type nonlinear equation and that much I can solve. It's just this 2 out front - and getting from a second-order form to a first-order form - that are throwing me.
Any help in solving for $y'$ would be greatly appreciated!
P. S. This is my first post. My apologies if there are any rules that I have failed to follow.
Edit: The form of the first-order solution should have the form
which would then be solved by the Bernoulli method. But how do we get from the second-order form to this one? I've been trying it on my own and nothing is working.
Thanks. Sorry for not being more specific.