Question: Consider the initial value problem 8y''+30y'+25y=0,y(0)=0,y'(0)=5.(i) What is the solution of this initial value problem?y=-4e52t+4e54ty=-4e-52t+4e-54ty=4e-52t-4e-54ty=4e52t-4e-4teTextbook and Media(ii) What is the t-coordinate of the local extreme

Consider the initial value problem 8y''+30y'+25y=0,y(0)=0,y'(0)=5.(i) What is the solution of this initial value problem?y=-4e52t+4e54ty=-4e-52t+4e-54ty=4e-52t-4e-54ty=4e52t-4e-4teTextbook and Media(ii) What is the t-coordinate of the local extreme value ofy=y(t)on the interval (0,)? Enter your answer as a decimalaccurate to three decimal places.

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