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(1 point) Consider the second order differential equation with initial conditions u +6.5u'+3u = -1.5 sin(31), u(1)=-6, u'(1) = -4.5. Without solving it, rewrite
(1 point) Consider the second order differential equation with initial conditions u" +6.5u'+3u = -1.5 sin(31), u(1)=-6, u'(1) = -4.5. Without solving it, rewrite the differential equation as an equivalent set of first order equations. In your answer use the single letter u to represent the function u and the single letter v to represent the "velocity function" u'. Do not use u(t) or u(t) to represent these functions. Expressions like sin(t) that represent other functions are OK. u = v' = Now write the first order system using matrices: d u PR == The initial value of the vector valued solution for this system is: u(1) v(1) =
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