Consider the second order differential equation with initial conditions u" - 4.5u' - 5.5u = -4 sin(3t), u(1) = 7.5, 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 v(t) to represent these functions. Expressions like sin(t) that represent other functions are OK. u' - Now write the first order system using matrices: น 4 [01-1 dt The initial value of the vector valued solution for this system is: u(1) 31-[ v(1) u' (1) = 9. น ]] [:]-[

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