JEE Main 2013 — Differential Equations Question with Solution
JEE Main 2013 (22 Apr Online)
Question
Consider the differential equation :
Statement-1: The substitution transforms the above equation into a first order homogenous differential equation.
Statement-2: The solution of this differential equation is .
Choose an option
Show full solutionCorrect option: D
Correct answer
DBoth statements are true.
Step-by-step explanation
Given differential equation is
By substituting , we get diff. eqn. as
Now,
Hence, statement-1 is true.
Now, satisfies the given diff. equation
It is the solution of given diff. equation. Thus, statement is also true.
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This is a previous-year question from JEE Main 2013, 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.