UPSC Exam > UPSC Questions > The differential equation is a (a) non-linear...
Start Learning for Free
The differential equation is a
(a) non-linear differential equation of first degree
(b) linear differential equation of first degree
(c) linear differential equation of second degree
(d) non-linear differential equation of second degree
2
2 3
2
+ +=
d y dy x
x xye?
(a) non-linear differential equation of first degree
(b) linear differential equation of first degree
(c) linear differential equation of second degree
(d) non-linear differential equation of second degree
2
2 3
2
+ +=
d y dy x
x xye?
Most Upvoted Answer
The differential equation is a (a) non-linear differential equation of...
Differential Equation Type:
Linear differential equation of second degree
Explanation:
- The given differential equation is in the form of \(x^2 \frac{dy}{dx} + x^3y = 2x\).
- It is a linear differential equation because it is linear in terms of the dependent variable \(y\) and its derivatives.
- It is of second degree because the highest power of the highest order derivative in the equation is 2.
- The equation can be rewritten in standard form as \(\frac{dy}{dx} + \frac{x}{y} = \frac{2}{x}\).
- The equation is linear because it is of the form \( \frac{dy}{dx} + P(x)y = Q(x) \), where \(P(x) = \frac{x}{y}\) and \(Q(x) = \frac{2}{x}\), both of which are functions of \(x\) only.
- The linearity of the equation allows for the use of standard methods of solution such as the method of integrating factors or separation of variables.
Linear differential equation of second degree
Explanation:
- The given differential equation is in the form of \(x^2 \frac{dy}{dx} + x^3y = 2x\).
- It is a linear differential equation because it is linear in terms of the dependent variable \(y\) and its derivatives.
- It is of second degree because the highest power of the highest order derivative in the equation is 2.
- The equation can be rewritten in standard form as \(\frac{dy}{dx} + \frac{x}{y} = \frac{2}{x}\).
- The equation is linear because it is of the form \( \frac{dy}{dx} + P(x)y = Q(x) \), where \(P(x) = \frac{x}{y}\) and \(Q(x) = \frac{2}{x}\), both of which are functions of \(x\) only.
- The linearity of the equation allows for the use of standard methods of solution such as the method of integrating factors or separation of variables.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
The differential equation is a (a) non-linear differential equation of first degree (b) linear differential equation of first degree (c) linear differential equation of second degree (d) non-linear differential equation of second degree 2 2 3 2 + += d y dy x x xye?
Question Description
The differential equation is a (a) non-linear differential equation of first degree (b) linear differential equation of first degree (c) linear differential equation of second degree (d) non-linear differential equation of second degree 2 2 3 2 + += d y dy x x xye? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The differential equation is a (a) non-linear differential equation of first degree (b) linear differential equation of first degree (c) linear differential equation of second degree (d) non-linear differential equation of second degree 2 2 3 2 + += d y dy x x xye? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The differential equation is a (a) non-linear differential equation of first degree (b) linear differential equation of first degree (c) linear differential equation of second degree (d) non-linear differential equation of second degree 2 2 3 2 + += d y dy x x xye?.
The differential equation is a (a) non-linear differential equation of first degree (b) linear differential equation of first degree (c) linear differential equation of second degree (d) non-linear differential equation of second degree 2 2 3 2 + += d y dy x x xye? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The differential equation is a (a) non-linear differential equation of first degree (b) linear differential equation of first degree (c) linear differential equation of second degree (d) non-linear differential equation of second degree 2 2 3 2 + += d y dy x x xye? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The differential equation is a (a) non-linear differential equation of first degree (b) linear differential equation of first degree (c) linear differential equation of second degree (d) non-linear differential equation of second degree 2 2 3 2 + += d y dy x x xye?.
Solutions for The differential equation is a (a) non-linear differential equation of first degree (b) linear differential equation of first degree (c) linear differential equation of second degree (d) non-linear differential equation of second degree 2 2 3 2 + += d y dy x x xye? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of The differential equation is a (a) non-linear differential equation of first degree (b) linear differential equation of first degree (c) linear differential equation of second degree (d) non-linear differential equation of second degree 2 2 3 2 + += d y dy x x xye? defined & explained in the simplest way possible. Besides giving the explanation of
The differential equation is a (a) non-linear differential equation of first degree (b) linear differential equation of first degree (c) linear differential equation of second degree (d) non-linear differential equation of second degree 2 2 3 2 + += d y dy x x xye?, a detailed solution for The differential equation is a (a) non-linear differential equation of first degree (b) linear differential equation of first degree (c) linear differential equation of second degree (d) non-linear differential equation of second degree 2 2 3 2 + += d y dy x x xye? has been provided alongside types of The differential equation is a (a) non-linear differential equation of first degree (b) linear differential equation of first degree (c) linear differential equation of second degree (d) non-linear differential equation of second degree 2 2 3 2 + += d y dy x x xye? theory, EduRev gives you an
ample number of questions to practice The differential equation is a (a) non-linear differential equation of first degree (b) linear differential equation of first degree (c) linear differential equation of second degree (d) non-linear differential equation of second degree 2 2 3 2 + += d y dy x x xye? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup