Search Colleges, Exams, Schools & more
Login
Application of Differential Equation - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
-
15 Questions around this concept.
Solve by difficulty
EASYLet the population of rabbits surviving at a time t be governed by the differential equation
. If
equals:
Concepts Covered - 1
Application of Differential Equation
Differential equations are used in a variety of disciplines, such as biology, economics, physics, chemistry, and engineering.
Growth and Decay Problem:
Let the amount of substance (or population) that is either growing or decaying be denoted by N(t). if we assume the time rate of change of this amount of substance, dN / dt, is proportional to the amount of substance present, then
$\frac{d N}{d t}=k N \quad$ or $\quad \frac{d N}{d t}-k N=0$
Where k is the constant of proportionality. We are assuming that N(t) is a differentiable, hence continuous, function of time.
Study it with Videos
"Stay in the loop. Receive exam news, study resources, and expert advice!"
Books
Reference Books
Clear your Basics with NCERT
E-books & Sample Papers
Get Answer to all your questions
B.Tech/B.Arch Admissions OPEN
Among top 100 Universities Globally in the Times Higher Education (THE) Interdisciplinary Science Rankings 2026
UPES B.Tech Admissions 2026
ApplyLast Date to Apply: 29th April | Ranked #43 among Engineering colleges in India by NIRF | Highest Package 1.3 CR , 100% Placements
Amrita University B.Tech 2026
ApplyRecognized as Institute of Eminence by Govt. of India | NAAC ‘A++’ Grade | Upto 75% Scholarships
MAHE, Manipal - B.Tech Admissions 2026
ApplyExtended Application Deadline: 30th April | NAAC A++ Accredited | NIRF Rank #3
Reva University B.Tech Admissions 2026
ApplyQS I-Gauge Diamond Rated | NAAC A+ Accredited | 621 Recruitment Partners | INR 40 LPA Highest CTC | 4482 Job offers
Manav Rachna-B.Tech Admissions 2026
ApplyNAAC A++ Grade | Recognized as Category-1 Deemed to be University by UGC | 41,000 + Alumni Imprints Globally