Can anyone solve the differential equation of  dy/dx=(2y+3÷4x+5)^2?

The answer is as follows:

As in my previous reply to you, you should notice that this DE is separable. Recall your highschool algebra!

So if you separate it, what do you get?

Answer that & we will proceed, step by step... that's the best way for you to learn and will permit you to solve such problems on your own!

Hopefully no one will spoil you the answer thereby depriving you from your personal enhancement; that would be very inconsiderate of them.