math2070review4.pdf - Review for exam 4 Thursday October 25 2018 Here is a list of topics that you should well understand for the exam \u2022 Reduction of

math2070review4.pdf - Review for exam 4 Thursday October 25...

This preview shows page 1 - 3 out of 5 pages.

Review for exam 4 Thursday, October 25 , 2018 Here is a list of topics that you should well understand for the exam: Reduction of Order Variation of Parameters Heaviside function Calculus of discontinuous functions Laplace transform rules with Heaviside functions Solve differential equations with discontinuous input functions Impulse functions: The Dirac delta function, δ c Laplace transform rules with the Dirac delta function Solve differential equation with impulse functions Mixing problems with discontinuous or impulse inputs Systems of differential equations The matrix exponential, e At The Laplace transform of e At and its inversion Fulmer’s method Below are typical problems from previous exams. I am not writing up solutions as there are plenty of solutions to similar problems in the solution manual. Problem1.Solve the following differential equations:1.t2y′′+ty+ 4y= 02. 2t2y′′-5ty+ 3y= 03.t2y′′+ 7ty+ 9y= 04.t2y′′+ 3ty+y= 05.t2y′′+ty+ 4y= 0Math 2070 1
Image of page 1
Review for exam 4 Thursday, October 25 , 2018
Image of page 2
Image of page 3

You've reached the end of your free preview.

Want to read all 5 pages?

  • Fall '19
  • Calculus, Dirac delta function, Use variation of parameters, t2 Y

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture