JEE Main 2012 — Differential Equations Question with Solution
JEE Main 2012 (12 May Online)
Question
Statement 1: The degrees of the differential equations and are equal.
Statement 2: The degree of a differential equation, when it is a polynomial equation in derivatives, is the highest positive integral power of the highest order derivative involved in the differential equation, otherwise degree is not defined.
Choose an option
Show full solutionCorrect option: D
Correct answer
DStatement 1 is true, Statement 2 is true; Statement 2 is a correct explanation of Statement 1.
Step-by-step explanation
Statement-1
Given differential equations are and
Their degrees are 1 .
Both have equal degree.
Also, Statement is the correct explanation for Statement - 1.
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This is a previous-year question from JEE Main 2012, 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.