University:
California State University, Northridge
Course:
MATH 351 | Differential Equations
Academic year:

2014
Views:

183

Pages:

2
Author:

backlitcanopy1g9

MATH351: Differential Equations Quiz2 Student l.D.:________ � f',(, Student Name:_ ___ _ /�·---- Question 1. [10 points] Consider the following differential equation y" + (3-a)y' -2(a- l)y= 0. Determine the values of a, if any, for which all solutions tend to zero as t - oo; also determine the values of a, if any, for which all (nonzero) solutions become unbounded as t - oo. ·/ 1) l /d\ 1,_i\\, .I J ( Question 2. [10 points] Find the Wronskian of two solutions of the given differential equation without solving the equation. 11 (l-x2 )y -Zxy' + a(a+ !)y= 0. (t.. ·) ·---·- C{_ \ y. l