Transform the differential equation 5yy+3y=cos(at)y(0)=1y=2 into an algebraic equation by taking the Laplace transform of each side. 36.1 ton. d1 of process water is to be cooled from T1=352.5K to T2=334.0K using cooling tower water which is available at t1=297.7K. You are using 25mm outside diameter, and 38mm outside diameter carbon steel tubes, both with wall thickness of 2mm in your design. Determine the Reynold's number in the inner tube (containing the process water) to an accuracy of at least zero decimal places