Question: Consider the following Initial Value Problem (IVP):dxdt=2x+3y+f(t)dydt=2x+ywheref(t)={5fort <20fort2with the initial conditions x(0)=0 and y(0)=0.Solve the IVP by first applying the Laplace transform, solving for x(s)

Consider the following Initial Value Problem (IVP):dxdt=2x+3y+f(t)dydt=2x+ywheref(t)={5fort<20fort2with the initial conditions x(0)=0 and y(0)=0.Solve the IVP by first applying the Laplace transform, solving for x(s) and Y(s), andthen using the inverse Laplace transform to find x(t) and y(t).

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