Question
Download Solution PDFउस वक्र का समीकरण जो बिन्दु (1, 0) से गुजरता और अवकल समीकरण (1 + y2) dx - xydy = 0 को संतुष्ट करता है, ________ क्या होगा।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFएक अवकल समीकरण को देखते हुए,
(1 + y2) dx - xydy = 0
या, (1 + y2) dx = xydy
इसे इस प्रकार लिखा जा सकता है,
दोनों पक्षों को समाकलित करने पर,
ln (x) =
या, 2 ln (x) = ln (1 + y2) + 2 ln (C)
या, ln (x2) = ln [(1 + y2) (C2)]
माना, C2 = K
या, x2 = K (1 + y2) .... (1)
चूँकि, (1, 0) से गुजरने वाला वक्र,
1 = K (1 + 0)
या, K = 1
समीकरण (1) से,
x2 = (1 + y2)
अत,
x2 - y2 = 1
Last updated on Jun 17, 2025
->The Rajasthan Gram Vikas Adhikari Vacancy 2025 has been announced at the official portal.
-> A total of 850 vacancies has been out.
-> Eligible candidates can apply online from 19th June to 18th July 2025.
-> The written test will be conducted on 31st August 2025.
->The RSMSSB VDO Selection Process consists of two stages i.e, Written Examination and Document Verification.
->Candidates who are interested to prepare for the examination can refer to the Rajasthan Gram Vikas Adhikari Previous Year Question Paper here!