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Problem 2. For the differential equation dt4d4x+16dt3d3x+86dt2d2x+176dtdx+99x=1 With initial conditions: x(0)=x(0)=x(0)=x(0)=0 a) (30 points) Solve the equation using Laplace transforms. b) (10 points) What is the limiting value of x(t) as t Problem 2. For the differential equation dt4d4x+16dt3d3x+86dt2d2x+176dtdx+99x=1 With initial conditions: x(0)=x(0)=x(0)=x(0)=0 a) (30 points) Solve the equation using Laplace transforms. b) (10 points) What is the limiting value of x(t) as t