General Solution For Homogeneous Equation (FE Exam Review)

Поделиться
HTML-код
  • Опубликовано: 25 дек 2024

Комментарии • 20

  • @aldojansel9439
    @aldojansel9439 5 лет назад +7

    Hey Kanza! on the morning of my FE Exam you uploaded this video and I got this question too. Thank you so much you really helped me pass the FE. Merci beacoup!

    • @Genieprep
      @Genieprep  5 лет назад +2

      Hello Aldo, felicitation and I am really happy to hear that my videos helped! Merci beaucoup pour ton support, it means a lot to me. Please share my channel with your friends who might find it helpful and good luck on your future endeavors 😊

  • @semisikaufusi2467
    @semisikaufusi2467 5 лет назад

    Way better explanation of this problem...great job keep doing what you do

    • @Genieprep
      @Genieprep  5 лет назад

      Thank you and keep up the good work!

  • @black92boi1
    @black92boi1 5 лет назад +4

    Thank you for all of your videos. they are great!! Can you do a flow net problem? and cut and fill problem? Explanations are very detailed thanks again for taking the time to help us!!

    • @Genieprep
      @Genieprep  5 лет назад +3

      Hello Pierre, thank you for watching. I will post those videos sometime in the future. Please share my channel with your friends who might find it helpful and good luck with your studying!

  • @MattDouglas_INFIN8INCREASE
    @MattDouglas_INFIN8INCREASE 5 лет назад +2

    Thank you so much for your videos! Huge help

    • @Genieprep
      @Genieprep  5 лет назад +2

      Thank you for watching and please share with your friends who might find it helpful!

  • @him2925
    @him2925 5 лет назад +3

    Thank you

  • @pinchinacherenfant6908
    @pinchinacherenfant6908 4 года назад

    Thank you so much for yourhelp

  • @tynanbradley381
    @tynanbradley381 4 года назад

    Hi anymore problems in math to prepare for the FE exam? Thank you!

  • @BasselSherif
    @BasselSherif 23 дня назад

    Hi, is the Differential equation still on the exam?

  • @brycegawronski6727
    @brycegawronski6727 4 года назад

    Hello! I wanted to ask, I am planning on taking the FE CIVIL exam this spring. When I read the Exam Specs, under Mathematics, it does not really mention Differential Eqs. as falling under the scope of assessment. From your experience though, it sounds like Diff EQ is certainly a topic we need to brush up on? Or is this topic more concerned for other FE Subjects (Mechanical, Electrical, etc.) Thank you!

    • @Genieprep
      @Genieprep  4 года назад

      Hello Bryce, thank you for watching and differential equations is not part of the FE civil.

  • @aaroncollins1187
    @aaroncollins1187 4 года назад

    So just to clarify. If the 2 polynomials are not equal then do we go with the solution of a^2>4b or a^2

  • @muthannaalyounes2052
    @muthannaalyounes2052 5 лет назад

    I am wondering about the subject you discuss here.
    This subject and a lot of subject in unit four does not include for fe civil exam mathematic section According to the subject paper by ncees.
    How we know exactly what subject in review book that we need to study and do not need to study.
    Please looking for an answer.

  • @willgaskins2715
    @willgaskins2715 Год назад

    If r^2 = y'' how is r = y'?

    • @willgaskins2715
      @willgaskins2715 Год назад

      And how is y = 1?

    • @carultch
      @carultch Год назад

      @@willgaskins2715 That's just part of what y, y', and y" each equal. There's a few steps behind the scenes to get to that point.
      Given the differential equation:
      y" + b*y' + c*y = 0
      We solve it, by assuming the solution is in the form of y=e^(r*t), or a constant multiple thereof, where r can either be any complex number. We then calculate each derivative of this prototype solution for y. Simple application of the chain rule.
      y = e^(r*t)
      y' = r*e^(r*t)
      y" = r^2*e^(r*t)
      Apply to the original equation:
      r^2*e^(r*t) + b*r*e^(r*t) + c*e^(r*t) = 0
      Factor:
      (r^2 + b*r + c)*e^(r*t) = 0
      Since e^(r*t) cannot be zero, we make the remaining portion equal to zero, called the characteristic equation:
      r^2 + b*r + c = 0
      From this point, we solve for r. We may get two distinct real solutions, a repeated real solution, two imaginary solutions, or two complex solutions. The type of solution will determine whether it is exponentials, trig, or a combination of the two.

    • @extremeheat9283
      @extremeheat9283 5 месяцев назад

      @@willgaskins2715 think of it this way, the primes are like exponents, so u kind of represent the differential as a quadratic eqn, so if y''=r^2 (double prime means power of 2), then y'=r (single prime is power of 1), and y is essentially 0 (because no prime is power of 0 and anything to the power of 0 is just 1), hence you get r^2-8r+16 instead of y''-8y'+16y