JEE Main 2013MathematicsDifferential EquationsSolution Of Differential Equations By Method Of Separation Variables And HomogeneousmediumMCQ

JEE Main 2013 — Differential Equations Question with Solution

From: JEE Main 2013 (Offline)

Question

At present, a firm is manufacturing items. It is estimated that the rate of change of production P w.r.t. additional number of workers is given by If the firm employs more workers, then the new level of production of items is

Choose an option

Show full solutionCorrect option: C
Correct answer
C

Step-by-step explanation

Given, Rate of change is



By intergrating





Given, when then



Now when

then



Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Differential Equations chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

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.