Math 20DSolutionsFriday 5/4/20071. (a) second order linear(b) first order linear(c) first order nonlinear(d) second order nonlinear(e) first order linear2. Computey01y2-y1y02(the Wronskian) and see if it is nonzero at some point.Alternatively verify that one function is not a constant multiple of the other.3. There are 3:y=-1 is stable,y= 0 is unstable andy= +1 is stable.Your answer should show how you got these results.4. (a) The answer is 2 sin(3t).The general solution isc1sin(3t) +c2cos(3t).By theinitial conditions,c1= 2 andc2= 0.Your solution should show how the general solution was found.
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