Solution of nonhomogeneous equations algebra
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The really nice thing we get out of this is a method for finding solutions to non-homogeneous systems of linear equations (or non-homogeneous matrix equations.) It works exactly the same way as solutions for linear differential equations:
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the complementary solution and YP(t) a particular solution. ... So, to solve a nonhomogeneous differential equation, we will need to solve the homogeneous differential equation, (2), which for constant coefficient differential equations is pretty easy to do, and we'll need a solution to (1)
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