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 $?-\frac{dx}{dy}=\frac{x^2}{xy-x^2{y}^2-1}$

$\therefore \frac{dy}{dx}=\frac{xy-x^2{y}^2-1}{x^2}$

$Letxy=v\Rightarrow x\frac{dy}{dx}+y=\frac{dv}{dx}$

Put x = 1, y = 1 $\Rightarrow ta{n}^{-1}=c\Rightarrow c=\frac{\pi }{4}$

$\therefore ta{n}^{-1}\left(xy\right)=\mathcal{l}nx=\frac{\pi }{4}$

$e\left(y\left(e\right)\right)=tan\left(1+\frac{\pi }{4}\right)=\frac{tan1+1}{1-tan1}$

In India there are a lot of female journalists, few popular names are Madhu Trehan founder of NewsLaundry and ex-founding member of India Today magazine, Sweta Singh from Aaj Tak, Faye D'souza from Mirror Now, Nidhi Razdan and Barkha Dutt from NDTV, Late Gauri Lankesh, Anjana Om Kashyap from Aaj Tak, Sucheta Dalal who uncovered the 1992 stock market scam, Manjari Joshi who was among the first news broadcasters from Doordarshan, Anupama Chopra who is a film critic and the founder of Film Companion and many more.

IISER Mohali cutoff 2025 has been released, wherein the closing rank for admission to the BS + MS course across multiple specialisations stood at 1778 for the students belonging to the General AI quota. Please note that the cutoff ranks vary for different rounds and categories. Detailed specialisation-wise first-round cutoff ranks for the General AI quota are provided in the table below:

Yes, candidates having a foreign degree can also apply for GATE. In such cases, the applicant must be in their final year (bachelor's degree) or relevant fields. It is advised to go through the GATE eligibility criteria and conditions before filling the application form.

NOTE: Applicants must note that there will be no international exam centres for the examination. Candidates need to travel to India in order to attempt the GATE exam. 

No, there is no age-limit for attempting GATE exam. Whether you are a fresh graduate, or a working professional, or someone who want to get into PSUs can apply for the GATE exam 2026, as long as you can meet the eligibility. Apart from the age-criteria, the GATE eligibilty relies on other factors, such as educational qualifications, category, etc. 

Thus, having no age-limit in GATE, gives an upperhand and a flexible option for candidates who are planning higher studies or applying to PSUs at any stage in their career. 

IISER Tirupati cutoff 2025 has been released for different categories of students under the AI quota. For the General category, the cutoff rank for BS + MS admission across multiple specialisations was 2990. For BSc in Economic and Statistical Sciences, the Round 1 closing rank stood at 2324. To view the category-wise ranks, refer to the table below:

The GOAPS is an online portal activated by IIT Guwahati for GATE aspirants to perform GATE related activities. The uses of the GOAPS portal are as follows -

• Registration and application 
• GATE application fee payment
• Editing or modification in the GATE application form
• Downloading the GATE admit card 2026
• Checking and downloading the GATE answer key, question paper, and response sheet
• Raising objections to the answer key
• Checking GATE result and downloading the scorecard.

SOL PDEU has not yet released any information about the fee structure. However, candidates can visit the Institute campus and enquire about the same from the administration office or admission office. Candidates must understand the fees bifurcation, payment modes, and other facilities and relaxation that the Institute has to provide during the fees payment. 

Candidates willing to get admission must take part in the Xavier School of Human Settlements admission process before the last date of application. Candidates must know their Xavier School of Human Settlements eligibility criteria and apply accordingly. Follow the Xavier School of Human Settlements application process mentioned below:

Step 1: Visit the official website of Xavier School of Human Settlements.

Step 2: Select the required course.

Step 3: Pay the application fee.

Step 4: Fill out and submit the application form with required information.

Yes, Xavier School of Human Settlements is a good college. The Xavier School of Human Settlements scholars are researching on wide variety of issues in infrastructure development, urban and municipal finance, urban mobilities, housing and affordability, water and waste management, climate change, economic development and sustainable livelihoods, and urban resilience, among others. Students are trained to become great researchers and teachers. 

The GATE 2026 admit card will be released on January 2, 2026. Candidates who have submitted their application form will be eligible to download the hall ticket. The GATE admit card 2026 will be available on GOAPS portal, and the credentials required to download the admit card is enrollment ID and password. The GATE 2026 exam dates are February 7,8, 14, and 15, 2026.

Candidates willing to get admission must take part in the Xavier School of Human Settlements admission process before the last date of application. Candidates must know their Xavier School of Human Settlements eligibility criteria and apply accordingly. Follow the Xavier School of Human Settlements application process mentioned below:

Step 1: Visit the official website of Xavier School of Human Settlements. 

Step 2: Select the required course.

Step 3: Pay the application fee.

Step 4: Fill out and submit the application form with required information.

Xavier School of Human Settlements offers postgraduate and PhD programmes to students. These courses are provided across the Management, Research, and various other streams. At the PG level, the college offers an MBA-UMG course whose academic year comprises three terms of 12-14 weeks each. At the doctoral level, there are full-time and part-time Research programmes available. The two-year full-time Master's Programme in Urban Management and Governance has a core and elective coursework and other learning segments of 113 credits. The college expects the students to spend about 70 hours a week on their academic work.

IISER Tirupati cutoff 2025 has been released, wherein the closing rank for admission to the BS + MS course across multiple specialisations stood at 2990 for the students belonging to the General AI quota. For admission to B.Sc. in Economic and Statistical Sciences, the first-round cutoff rank was 2324. Please note that the cutoff ranks vary for different rounds and categories. Detailed specialisation-wise first-round cutoff ranks for the General AI quota are provided in the table below:

Dehradun Institute of Hospitality admissions are merit-based. To get admission to DIH, candidates must meet the eligibility criteria set by the college. The application process at Dehradun Institute of Hospitality is conducted online.

The basic eligibility for BSc admission at Raffles University is passing the Class 12 examination from a recognised board. However, for honours courses, the criteria may slightly differ. For specialised programmes like BSc Agriculture (Hons), students are required to appear for the Rajasthan JET (Joint Entrance Test), which is a mandatory component for admission into such programmes.

Yes, BSc admission at Raffles University for the 2025 academic session is currently open. Students interested in a career in the field of science, including specialisations like Agriculture, Physics, Chemistry, or Computer Science, can begin their application process. It's important to stay updated with key admission dates and ensure all eligibility requirements are met.

Every year, VMOU (Vardhman Mahaveer Open University) releases the PTET counselling schedule on its official website. According to the PTET 2025 counselling schedule, the process started on July 4, 2025, and continued till July 20, 2025.