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Integrating Factors Explained
the most common way to solve first order linear ODE's
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Bases for the fundamental spaces of a matrix
a lot of students struggle with this so here. row space, column space, null space, and left null space.
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Series Solutions Done Quick
the fast way to do series solutions. no reindexing required.
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Column and Row Perspective
How to simplify matrix multiplication with the best perspectives (and also find certain inverse matrices fast!)
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New Ways to Calculate Normalized Solutions to Linear Constant-Coefficient Differential Equations
The fastest way for a computer, and a fast way by hand.