Write the given second order equation as its equivalent system of first order equations. " – 7.5u + 1.5u = -3 sin(3t), u(1) : = 0, u'(1) = 1.5 Use v to represent the "velocity function", i.e. v =...

Extracted text: Write the given second order equation as its equivalent system of first order equations. " – 7.5u + 1.5u = -3 sin(3t), u(1) : = 0, u'(1) = 1.5 Use v to represent the "velocity function", i.e. v = u'(t). Use v and u for the two functions, rather than u(t) and v(t). (The latter confuses webwork. Functions like sin(t) are ok.) u 3= Now write the system using matrices: u d dt V and the initial value for the vector valued function is: u(1) v(1)