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I'm a PhD student in Operations Management, and I've stumbled across a differential equation while modeling an OM concept. I was wondering if you could help me with this differential equation, or direct me in a way that would help me solve it.

The equation is:

y'[t]+A[t]*(y[t])^2+B[t]*y[t]+G[t]=0.

As you can see, y, A, B, G are all functions of t. Unfortunately, due to nature of the functions A, B and G, I cannot transform the above equation into y'[t]+(y+J[t])^2=0, which would help me use substitution and solve the above equation. If I can get y[t] solution as a function of A[t}, B[t] and G[t], it would really help me with my research.

Thanks a lot for your help in advance.

Best,

Gulru