JEE Main 2017MathematicsDifferentiationHardMCQ

JEE Main 2017 — Differentiation Question with Solution

JEE Main 2017 (09 Apr Online)

Question

If 2x=y15+y-15 and x2-1d2ydx2+λxdydx+ky=0, then λ+k is equal to

Choose an option

Show full solutionCorrect option: B
Correct answer
B-24

Step-by-step explanation

Given y15+y-15=2x

⇒15y-45-15y-65dydx=2 

⇒y′y15-y-15=10y

⇒y′ 2x2-1=10y

⇒y′ x2-1=5y

Differentiating again

y′′2x2-1+y′22x2x2-1=10y'

⇒y′′x2-1+xy′=5x2-1 y′

⇒y′′ x2-1+xy′-25y=0

⇒λ=1, k=-25

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About this question

This is a previous-year question from JEE Main 2017, covering the Differentiation 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.