Question

Solution of first order nonhomogeneous differential equation

Answer 1

An example of a first order linear non-homogeneous differential equation is

Having a non-zero value for the constant c is what makes this equation non-homogeneous, and that adds a step to the process of solution. The path to a general solution involves finding a solution to the homogeneous equation (i.e., drop off the constant c), and then finding a particular solution to the non-homogeneous equation (i.e., find any solution with the constant c left in the equation). The solution to the homogeneous equation is