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Lec 25 | MIT 18.03 Differential Equations, Spring 2006

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Uploaded by on Jan 17, 2008

Homogeneous Linear Systems with Constant Coefficients: Solution via Matrix Eigenvalues (Real and Distinct Case).

View the complete course: http://ocw.mit.edu/18-03S06

License: Creative Commons BY-NC-SA
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More courses at http://ocw.mit.edu

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  • the smartest people are far from arrogant

  • your videos are great! thanks! :D

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  • Don't get me wrong, this lecture is fantastic, but since when did woody allen teach differential equations?

  • it would make more sense to do some in depth financial and economic applications in statistics, i think ODE's, multivariable, and linear algebra are very closely associated, and matrices is something we dont really cover until linear algebra :(|

  • now this is a professor who loves what he does is a teacher sharing his knowledge i wish i had more professors like this guy who actually cares about teaching and not their research.

  • @SamaelTePersigoaTi Thank you for your input, however this is not what I was asking. At my university, when Calc 3 is taken we assume we know matrices. When Difff EQ is taken, we take about three lectures understanding matrices, which you would translate into "more in depth" however, like you mentioned linear algebra would be the class you need to take to understand and fully comprehend matrices. My question was about MIT math structure and program, not what a matrix was. Thank you.

  • @yyourfacee I know right! I'm a double math/econ major and I'm sick of seeing physics in all of math... it's not the only field math is used in :)

  • 8:58 ROFL :DD

  • I wish they did some financial/economic applications instead of all physics =(

  • @samn100 EVERYTHING

    

  • its from the system of equations.  if you plug in x to find y you will see that the equation will have the same exponentials.

  • Why is it that we can assume that two differential equations share the same pair of exponentials? (10:00)

    I mean labeling them with a single letter does indeed yield a solution but I'd like to know why we can say this in general.

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