Introduction to Repeated Roots

Exploring Repeated Roots reveals several interesting facts. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: ...

Repeated Roots Comprehensive Overview

Have you ever wondered why, when you solve a differential equation with a This video follows from "Graphing ~ Polynomials ~ 03 ~ Non-Monic Leading Coefficients." It is the third (and last) of three videos ... example showing how to solve a linear, 2nd order, constant coefficient, homogeneous, differential equation with

When the characteristic equation has

Summary & Highlights for Repeated Roots

  • Second order differential equations, characteristic equation has
  • In this video we discuss what happens graphically when a function has
  • A proof of why we can multiply a solution by "t" when we have a
  • We explore 3 different explanations why the solution is of the form (A + Bx) e^{lambda x}, for a 2nd order linear homogeneous ...
  • The second video is a series of three. Partial Fractions (linear factors) http://youtu.be/DpKRdqlQnnY Partial Fractions (non-linear) ...

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