Careers360 Logo
Engineering and Architecture
Search Colleges, Exams, Schools & more
JEE Main Registration 2025- Application Date, Fees, Documents Required
  1. Home
  2. JEE Main
  3. Study Material
  4. Bernoulli’s Equation - Practice Questions & MCQ

Bernoulli’s Equation - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

Quick Facts

  • Bernoulli’s Equation is considered one the most difficult concept.

  • 7 Questions around this concept.

Concepts Covered - 1

Bernoulli’s Equation

When DE is not in the linear form, it can sometimes be converted into a linear form with the help of proper substitution.

An equation of the form

\\\mathrm{\frac{dy}{dx}+P(x)\cdot y=Q(x)\cdot y^n\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\ldots(i)}

Where P(x) and Q(x) are a function of x only, is known as Bernoulli’s equation.

(If we put n = 0, then the equation is in linear form.) 

To reduce Eq (i) into linear form, divide both sides by yn,

\\\mathrm{\;\;\;\;\;\;\;\;\;\frac{1}{y^n}\cdot\frac{dy}{dx}+\frac{P(x)}{y^{n-1}}=Q(x)\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;}\\\\\mathrm{or\;\;\;\;\;\;y^{-n}\cdot\frac{dy}{dx}+{y^{1-n}}\cdot P(x)=Q(x)\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\ldots(ii)}\\\\\text{Putting }y^{1-n}=t, \text{converts this equation into a linear equation in t, which can then be solved}

Study it with Videos

Bernoulli’s Equation

Study other Related Concepts

Bernoulli’s Equation Current Topic

Differential Equation
Formation of Differential Equation and Solutions of a Differential Equation
Differential equations with variables separable
Homogeneous Differential Equation
Linear Differential Equation
Bernoulli’s Equation
Orthogonal Trajectory
Exact Differential Equation
Application of Differential Equation

"Stay in the loop. Receive exam news, study resources, and expert advice!"

Books

Reference Books

Bernoulli’s Equation

Mathematics for Joint Entrance Examination JEE (Advanced) : Calculus

Page No. : 10.13

Line : 6

Clear your Basics with NCERT

E-books & Sample Papers

JEE Seat Matrix

8281+ Downloads

Get Answer to all your questions

JEE Main Articles

BTech Admission without Entrance Exam - Top Colleges, Fees Structure, Eligibility
May 22, 2024
List of Engineering colleges accepting 98 Percentile in JEE Main 2024
May 21, 2024
Top Engineering Colleges without 75% Criteria in India 2024
May 22, 2024
NIT Karnataka Seat Matrix 2024 - Check Total Btech Seats
May 22, 2024
SVNIT Surat Seat Matrix 2024
May 21, 2024
JAC Delhi Cutoff 2024 - Check Opening and Closing Rank
May 21, 2024
Top Colleges Accepting JEE Main Rank Between 50000 to 2 Lakhs
May 21, 2024
NIT Allahabad Seat Matrix 2024 - Check Here
May 21, 2024

B.Tech/B.Arch Admissions OPEN

Amity University, Noida B.Tech Admissions 2024
Amity University, Noida B.Tech Admissions 2024
Apply

Asia's Only University with the Highest US & UK Accreditation

UPES B.Tech Admissions 2024
UPES B.Tech Admissions 2024
Apply

Ranked #52 among universities in India by NIRF | Highest CTC 50 LPA | 100% Placements | Last Date to Apply: 31st May

Jain University B.Tech 2024
Jain University B.Tech 2024
Apply

100% Placement Record | Highest CTC 42 LPA | NAAC A++ Accredited | Ranked #68 in India by NIRF Ranking 2023 | Last Date to Apply: 24th May

ICFAI University Hyderabad B.Tech Admissions 2024
ICFAI University Hyderabad B.Tech Admissions 2024
Apply

Merit Scholarships | NAAC A+ Accredited | Top Recruiters : E&Y, CYENT, Nvidia, CISCO, Genpact, Amazon & many more

Pimpri Chinchwad University B.Tech Admissions
Pimpri Chinchwad University B.Tech Admissions
Apply

1000+ Recruiters | 450+ Patents | 50000+ Alumni network

Hindusthan College of Engineering & Tech Admissions 2024
Hindusthan College of Engineering & Tech Admissions 2024
Apply

Ranked #31 by Education World

View All Application Forms
News and Notifications
May 01, 2024 - 09:04 AM IST :
April 24, 2024 - 11:38 PM IST :
April 22, 2024 - 11:55 AM IST :
JEE Main 2024: NTA debars 39 candidates for 3 years on account of using unfair means
May 02, 2024 - 10:31 AM IST
JEE Main 2024 session 2 paper 2 answer key objection window closes today; fees
May 01, 2024 - 08:44 AM IST
JEE Main 2024 Topper: Farmer’s son Gajare Nilkrishna says ‘keep questioning until you understand’
April 25, 2024 - 05:07 PM IST
NIT Puducherry Cut-off 2024: Computer Science and Engineering had highest closing rank last year
April 25, 2024 - 11:16 AM IST
JEE Mains: Farmer's son from remote Maharashtra village aces exam
April 25, 2024 - 09:44 AM IST
What after JEE Main results 2024? All you need to know about JEE Adv, CSAB, JoSAA counselling
April 25, 2024 - 09:11 AM IST
JEE Main Toppers 2024: 56 candidates get 100 NTA score; mostly from Telangana, Maharashtra
April 24, 2024 - 11:36 PM IST

Download Careers360 App's

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

  • student
    300M+

    Students

  • colleges
    36,000+

    Colleges

  • exams
    550+

    Exams

  • ebook
    1500+

    E-Books

  • certification
    16000+

    Certifications

student
Mobile Screen

We Appeared in

Joint Entrance Examination (Main)      
JEE Main College Predictor
Back to top