I believe this expression is a Ricatti DE. See Riccati equation - Wikipedia, the free encyclopedia
I think they are a little tricky to solve and unfortunately I do not have experience with them. One of the math giants here might reply to you
hello,
I have an ODE and am unable to solve it can somebody help:
dy/dt = -5*t*y^2 + 5/t - 1/t^2 , initial condition is y(1) = 1
I've look at various ways to solve but can't variable separable benoulli, integrating factor, exact etc but just can't seem to do it anyone can help.
Thank you.
I believe this expression is a Ricatti DE. See Riccati equation - Wikipedia, the free encyclopedia
I think they are a little tricky to solve and unfortunately I do not have experience with them. One of the math giants here might reply to you
Hi
I confirm this is a Riccati equation
If you can find a particular solution then letting , you can find a Bernoulli equation for u
Équation de Riccati - Wikipédia
Here is a particular solution
At the end I can find
K can be found using the initial condition