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Differential Equations and Matrix Exponentials — Linear Algebra — Kynotic Academy
Ch 20
Differential Equations and Matrix Exponentials
12 min
A single equation like is easy: the solution is . But what if you have ten quantities that all influence one another? That’s a system of linear differential equations, and matrices turn it into something just as neat: . In this chapter we’ll learn how to build and understand that powerful tool —the matrix exponential—and use it to solve systems, predict stability, and even handle second‑order equations.