JEE Main 2005 — Differential Equations Question with Solution
JEE Main 2005
Question
The differential equation representing the family of curves , where , is a parameter, is of order and degree as follows:
Choose an option
Show full solutionCorrect option: C
Correct answer
Corder 1, degree 3
Step-by-step explanation
[on putting value of c from (ii) in (i)]
On simplifying, we get
Hence equation (iii) is of order 1 and degree 3.
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This is a previous-year question from JEE Main 2005, covering the Differential Equations chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.