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**):

- 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).

- \[
- Solve

\[

\frac{y}{x}dx+(y^3+\ln(x))dy=0.

\] - Solve (reducing to a 1-st order differential equation)

\[

y”=e^y.

\]

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?

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

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

HW2 is available to upload.