MATH351: Differential Equations
Quiz2
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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.
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Question 2. [10 points] Find the Wronskian of two solutions of the given differential equation without
solving the equation.
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(l-x2 )y -Zxy' + a(a+ !)y= 0.
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