Second order linear equations

Linear differential equations that contain second derivatives

Linear homogeneous equations

To make your life interesting, we'll now use the word "homogeneous" in a way that is not connected to the way we used the term when talking about first-order equations. As you'll see, second order linear homogeneous equations can be solved with a little bit of algebra (and a lot of love).
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2nd order linear homogeneous differential equations 1
Introduction to 2nd order, linear, homogeneous differential equations with constant coefficients.
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2nd order linear homogeneous differential equations 2
Let's find the general solution!
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2nd order linear homogeneous differential equations 3
Let's use some initial conditions to solve for the particular solution
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2nd order linear homogeneous differential equations 4
Another example with initial conditions!