dx/dt - 5x = -3Ae^2t
2x-5x^2 = -3Ae^2t
what should i do to get the answer?
First this is a linear constant coefficeient non-homogeneous ODE. So the general solution is the sum of the general solution of the homogeneous problem:
and a particular integral of:
You should know how to find the general solution to , and to find a particular integral of try a solution of the form: