CHEM 131 Midterm: Exam 1 No Solutions Fall 2003

• School: University of Maryland
• Department: Chemistry and Biochemistry
• Course: CHEM 131
• Professor: All

Document Summary

This is a closed book 50-minute in-class exam. Please show your work or explain how you reached your answers. Calculators or cell phones are not allowed in the exam. I agree to complete this exam without unauthorized assistance from any person, material, or device. 1: (30 points) solve the following rst order di erential equations. (a) 2x + y2 + 2xyy = 0; y(1) = 1. (b) y + 2. 2: (15 points) construct a rst order linear di erential equation whose solutions approach to y = 3: (15 points) find a solution to the ivp: y 2y + y = 0 y(0) = 1; y (0) = 0. That is, plot the location of the critical points versus a. Assume that f (t, y) is continuous on a rectangle d = {(t, y) : |t| a, |y| b}, and max (t,y) d. |f (t, y)| m, max (t,y1),(t,y2) d, y16=y2. K, with m and k satisfying m.