How to integrate the equation?

Question

higher mathematics

Good afternoon!
I haven't touched integration for a long time and now I can't integrate the complexity. Solutions don't converge.
This equation is

a=1.5, b=0.5, y(0)=1 t=[0 10]
It looks like

But there is an error somewhere...

Answer 1

y(t) = 3*e^(1.5*t) / (2 + e^(1.5*t))