IIEST Shibpur offers integrated MTech for engineering streams. So, first, be clear if you want to pursue MTech from an institute that does not have a record of producing post-grads like IITs or other universities abroad. 

Comparison:

In academics, there is not much difference between JU CS and BESU CS.

In fact in the present scenario, JU CS has better placement statisticsas compared to BESU CS.For this reason, sometimes BESU CS/IT graduates join IITs after the completion of their course and often end up in the same firms their fellow JU mates are working in for 2 years. 

BESU got updated to the status of IIEST quite recently. It will take some time for the institute to improve its infrastructure and academics. Being an institute of national importance, the institute is attracting good facilities and campus recruits. 

The bottom line is if you are sure that you want to pursue integrated MTech, IIEST CS is not a bad option. Be it JU or BESU, the institute does not matter that much. If you are hard-working, you will excel. 

Jadavpur University has managed to survive the recession to give its student a handsome placement package. My friend is currently studying there and their placement happens all around the years, unlike IITs where placement happens for two weeks or so.

Like most engineering colleges, CSE as usual tops the placement with their highest packages. The most popular recruiters include Amazon, Microsoft, Adobe, Goldman Sachs, etc.

Almost 100% of students are placed in all the branches. Here are some branch-wise placement statistics for the year 2020.

Another good thing at Jadavpur University is that most of the big IT/ Analytics firms do not discriminate between the branches and allow them to sit for their placements. This way, you can grab a job in any field that you would like if you develop an interest in it in your college tenure. 

As per the reports of last year, NIT Trichy is deemed better than Jadavpur University. Thus, you must not leave any chance to get into NIT Trichy. 

• As per the NIRF 2020 ranking, NIT Trichy is ranked 9th for B.Tech. 
• NIT Trichy has a stupendous entrepreneurial culture, with a broad alumni network spread across India and overseas. The alumni network is over 30,000, including CEOs of top firms listed in Fortune India 500 and Forbes Global 2000. 
• Jadavpur University is ranked 17th for B.Tech by NIRF 2020. 

Going by the recent rankings and alumni networks it is safe to say that NIT Trichy is ahead of Jadavpur. However, you should do your own research and make a decision based on that. 

Having some friends at Jadavpur University, I can list some problems that students usually face:

1. As Jadavpur University is a regional university, it lacks the exposure what central institutes usually attract. For the same reason, the administration is a little lazy and students enjoy too much freedom. 
2. Most of the professors are quite qualified and experienced, you can find a lot of them who aren’t up to the mark. Here, it becomes quite difficult to compete with the level of IIT and NIT professors.
3. Students at Jadavpur are not creative and do not think out of the box. They usually like to go with the flow and simply follow the syllabus for good placement. 
4. The placement scenario of the CSE department might be at a height but sometimes, other departments suffer and couldn't get as great opportunities.
5. The UG research quality in JU is not up to the mark. Although many students indulge in research and projects, the publication quality is not at par. They just make some small change in an algorithm and produce two/three papers but are not recognized very kindly by foreign universities.

All in all, JU needs improvements with the serious involvement of all the students, teachers, staff, alumni of JU. By tackling all the problem areas together, it can shine like IITs and NITs in the near future.

I have a few friends who have completed their B.tech from IIT (ISM) Dhanbad and Jadavpur University. Here are some crucial factors you must take into account to understand the difference.

• Legacy: IIT(ISM), Dhanbad is an IIT which is a central level engineering institute and also one of the oldest colleges in the country. On the other hand, JU still remains a state-level university.
• Infrastructure: If you have visited both campuses, you can clearly see that the infrastructure at JU is crumbling as compared to that of IIT(ISM). JU has a campus the size of IIT(ISM), Dhanbad's lower ground.
• Rankings: Although most rankings are biased and paid, JU is always ranked below IIT(ISM) Dhanbad except in the NIRF Rankings.
• Placement packages: The tougher JEE Advanced criteria ensures the quality of students IIT (ISM) Dhanbad. All branches perform quite well. For example - The highest salary offered in CSE in the year 2017 was 1.05 crore

By no means a state-level university can outstand a national-level Institute. IIT (ISM) Dhanbad has an edge over JU in almost all aspects. If you score well enough for IIT (ISM) Dhanbad, there’s no point in thinking about Jadavpur University.