It's almost the same just a little difference in the subjects offered in the course. You will notice that a single college doesn't have both the courses. Just one Computer Engineering or CSE, so it doesn't really matter. If you want to go for the generally opted Computer Engineering course, go for the one which VJTI or COEP are offering. All the best.

Hello,
Computer Engineering is the combination of Computer Science and Electrical Engineering. It focuses on computing in all forms, from microprocessors to embedded computing devices to laptop and desktop systems to supercomputers. As such, it concerns the electrical engineering considerations of how microprocessors function, are designed, and are optimized; how data is communicated among electronic components; how integrated systems of electronic components are designed and how they operate to process instructions expressed in software; and how software is written, compiled, and optimized for specific hardware platforms. Therefore, computer engineers are electrical engineers who specialize in software design, hardware design, or systems design that integrates both.

Courses and research in computer engineering include computer systems, computer architecture, distributed and parallel systems, parallel processing, parallel algorithms, computer networks, hardware software interaction, VLSI design, embedded systems, numerical analysis, systems simulation, robotics, neural networks, switching networks, and large-scale systems. Whereas computer science involves core software approach......like Web development, app development, ethical hacking, data analysis, etc

Computer engineering is, in a way combination of knowledge from computer science and electronics engineering.......for example, vlsi demands understanding of concepts of basic electric circuits and digital electronics but also that person should have some C programming skills to write a code in VHDL or Verilog.....

There seems to be a slight overlap in the courses of computer science and computer engineering but again notice that there is a difference between computer hardware engineer and computer software engineer.
I hope this would help you. For further queries please feel free to write me down in the comment box.