JEE Main 2016 — Differential Equations Question with Solution
From: JEE Main 2016 (Online) 10th April Morning Slot
Question
The solution of the differential equation
where 0 x < , and y (0) = 1, is given by :
where 0 x < , and y (0) = 1, is given by :
Choose an option
Show full solutionCorrect option: C
Correct answer
Cy2 = 1
Step-by-step explanation
Given,
Now, let
y2 t
2y
New equation,
I.F
sec x + tan x
Solution is,
t(sec x + tan x) (sec x + tan x) dx
t(sec x + tan x) sec x + tan x x + c
t 1
y2 1
Given,
y(0) 1
1 1 0 + c
c 0
y2 1
Now, let
y2 t
2y
New equation,
I.F
sec x + tan x
Solution is,
t(sec x + tan x) (sec x + tan x) dx
t(sec x + tan x) sec x + tan x x + c
t 1
y2 1
Given,
y(0) 1
1 1 0 + c
c 0
y2 1
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This is a previous-year question from JEE Main 2016, 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.