Question

Consider the initial value problem 3u" - u'+ 2u = 0, u(0) = 5, u'(0) = 0.


Consider the initial value problem 

3u" - u'+ 2u = 0, u(0) = 5, u'(0) = 0. 


(a) Find the solution u(t) of this problem. 

u(t) = _______ 


(b) For t > 0, find the first time at which |u(t)|=10. (A computer algebra system is recommended. Round your answer to four decimat places.)

t = _______ 


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