Question: Write the given second order equation as its equivalent system of first order equations.u''+6.5u'+7.5u=-4.5sin(3t),u(1)=3.5,u'(1)=5Use vto represent the velocity function, i.e.v=u'(t).Use u and v for the

Write the given second order equation as its equivalent system of first order equations.u''+6.5u'+7.5u=-4.5sin(3t),u(1)=3.5,u'(1)=5Use vto represent the "velocity function", i.e.v=u'(t).Use u and v for the two functions, rather than u(t) and v(t).u'=v'=Now write the system using matrices:ddt[uv]=[][uv]+[]and the initial value for the vector valued function is:

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