JEE Main 2021MathematicsDifferential EquationsLinear Differential EquationshardMCQ

JEE Main 2021 — Differential Equations Question with Solution

From: JEE Main 2021 (Online) 20th July Evening Shift

Question

Let y = y(x) satisfies the equation , for all x > 0, where A = \left[ {\matrix{ y & {\sin x} & 1 \cr 0 & { - 1} & 1 \cr 2 & 0 & {{1 \over x}} \cr } } \right]. If , then the value of is :

Choose an option

Show full solutionCorrect option: A
Correct answer
A

Step-by-step explanation













..... (i)

Now, x = , y = + 2

Use in (i)

c = 0

Now, (i) becomes



put



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About this question

This is a previous-year question from JEE Main 2021, 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.