I just learned today how to solve a first-order nonhomogeneous equation by breaking it down into a particular integral and a complementary function. What i'm wondering is WHY is the solution equal to these 2 things added together? I can see how each individual part of them is solved from the general term but I dont understand why when u add them together, u get the general solution to the complete differential equation?
Why is the solution of a first-order nonhomogeneous equation equal to a particular integral and a complementary function?
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10% accepted rate is not a good sign here. :) – 2012-10-23