e the A and B constants using boundary conditions.

A long cylinder closed at the bottom and with internal radius Rc is being filled with water. A long piston with radius Rp is slowly pushed into the cylinder with a velocity of U0, replacing the water inside.a) Derive a differential equation for the velocity profile of water which is moving between piston and cylinder walls.b) Solve that derived equation. ( the required answer is in the picture.)c) Determine the A and B constants using boundary conditions.