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**i_zz_y_ill** Yeah thanks, I was wondering though since in this stuation 2 is essentially a function of x if I had dy/dx + 3y = 4 couldn't this 4 essentially be a function of x in which case the method of I.f could be used. Giving y = 4/3 + c

What confuses me is why using an auxiliary eqn and a particular integral gives a more complicated genera solution i.e y = Qx + P + Ae^x

Furthermore what confuses me is that if 4 is just perceived as a function of x, what's to stop it being a constant if that makes sense function of y so that it can be taken to the LHS and the equation becomes homogenous i need of only a complementary function. In which case a general solution is y = Ae^-3x.

I've obviously presumed alot which is wrong!!!!I don't understand lol