Consider the second order differential equation with initial conditionsu+4.5u4u=5sin(3t),u(1)=2.5,u(1)=4.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= v= Now write the first order system using matrices:ddt[u]v=[][u]v+[].The initial value of the vector valued solution for this system is: