math 285: the week of september 8

Review Chapter 1.6, 2.2 of the textbook (Edwards and Penney). Listen to the video lectures.

Additional reading (highly recommended!): chapter 1 of Ordinary differential equations : a practical guide by
Bernd J. Schroers (CUP, 2011).

Homework (due by Monday, 9.17):

  1. Reduce the equation to a linear one and solve:
    • \[
      y’+2y=y^2e^{x}
      \]
      (use \(u=1/y\));
    • \[
      (2e^y-x)y’=1
      \]
      (swap unknown function and independent variable).
  2. Solve
    \[
    \frac{y}{x}dx+(y^3+\ln(x))dy=0.
    \]
  3. Solve (reducing to a 1-st order differential equation)
    \[
    y”=e^y.
    \]

4 Responses to math 285: the week of september 8

  1. Luke Sharkey September 8, 2014 at 11:23 pm #

    I seem to be struggling with some of these things. I’d like to meet with you outside of class, but I can’t make your office hours tomorrow because of the engineering expo. Is there any other time that I could get some help?

    • yuliy September 9, 2014 at 12:53 am #

      I’ll schedule some time this Friday (9.12) afternoon.

  2. Jacob September 14, 2014 at 6:49 pm #

    Could you please make this homework available to submit on Compass2g?

    • yuliy September 14, 2014 at 11:03 pm #

      HW2 is available to upload.

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