HOMEWORK 1 FREQUENTLY ASKED QUESTIONS (FAQs) 1. In problem 2(a), the proper equation for du/dx is du/dx = a + b dy/dx 2. Note that in problem 3, the method of proving a 1st order equation homogenous is different from that used in your book. Feel free to use either approach. (WARNING: Remember that homogeneous is a term used in many ways in the study of differential equations. Make sure you look up the correct mean if you're using the index of the text.) 3. Problem 4: yes, that IS e^{ex}. Sorry, it was probably supposed to be something easier. 4. Problem 5: USE THE HINT. The slope of the curve is the same as the slope of its tangent. To find the solve of a line, you need only two points. For this problem, the Pythagorean theorem will prove useful. DO NOT solve the resulting equation. All the question asks for is the model.