Class 12 Exam > Class 12 Questions > Which of the following functions is a solutio...
Start Learning for Free
Which of the following functions is a solution for the differential equation dy/dx -14x = 0?
- a)y = 7x2
- b)y = 7x3
- c)y = x7
- d)y = 14x
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Which of the following functions is a solution for the differential eq...
Consider the function y = 7x2
Differentiating w.r.t x, we get
dy/dx -14x
⇒ dy/dx -14x = 0
Hence, the function y = 7x2 is a solution for the differential equation dydx - 14x = 0
Differentiating w.r.t x, we get
dy/dx -14x
⇒ dy/dx -14x = 0
Hence, the function y = 7x2 is a solution for the differential equation dydx - 14x = 0
Free Test
FREE
| Start Free Test |
Community Answer
Which of the following functions is a solution for the differential eq...
Given: dy/dx -14x = 0
To find the solution for the given differential equation, we need to find a function y(x) that satisfies the equation.
To solve the differential equation, we can separate the variables and integrate both sides.
Separating the variables:
dy = 14x dx
Integrating both sides:
∫dy = ∫14x dx
Using the power rule of integration, we can integrate both sides:
y = 7x^2 + C
where C is the constant of integration.
Now, we have the general solution to the differential equation: y = 7x^2 + C.
To determine the specific solution, we need an initial condition or boundary condition. Since no initial condition is given in the question, we cannot determine the value of C.
Therefore, the solution to the differential equation dy/dx -14x = 0 is y = 7x^2 + C, where C is a constant.
Among the given options, option A (y = 7x^2) is the only function that satisfies the differential equation dy/dx -14x = 0, as it is the general solution without the constant of integration.
To find the solution for the given differential equation, we need to find a function y(x) that satisfies the equation.
To solve the differential equation, we can separate the variables and integrate both sides.
Separating the variables:
dy = 14x dx
Integrating both sides:
∫dy = ∫14x dx
Using the power rule of integration, we can integrate both sides:
y = 7x^2 + C
where C is the constant of integration.
Now, we have the general solution to the differential equation: y = 7x^2 + C.
To determine the specific solution, we need an initial condition or boundary condition. Since no initial condition is given in the question, we cannot determine the value of C.
Therefore, the solution to the differential equation dy/dx -14x = 0 is y = 7x^2 + C, where C is a constant.
Among the given options, option A (y = 7x^2) is the only function that satisfies the differential equation dy/dx -14x = 0, as it is the general solution without the constant of integration.
|
Explore Courses for Class 12 exam
|
|
Top Courses for Class 12View all
Question Description
Which of the following functions is a solution for the differential equationdy/dx -14x = 0?a)y = 7x2b)y = 7x3c)y = x7d)y = 14xCorrect answer is option 'A'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Which of the following functions is a solution for the differential equationdy/dx -14x = 0?a)y = 7x2b)y = 7x3c)y = x7d)y = 14xCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following functions is a solution for the differential equationdy/dx -14x = 0?a)y = 7x2b)y = 7x3c)y = x7d)y = 14xCorrect answer is option 'A'. Can you explain this answer?.
Which of the following functions is a solution for the differential equationdy/dx -14x = 0?a)y = 7x2b)y = 7x3c)y = x7d)y = 14xCorrect answer is option 'A'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Which of the following functions is a solution for the differential equationdy/dx -14x = 0?a)y = 7x2b)y = 7x3c)y = x7d)y = 14xCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following functions is a solution for the differential equationdy/dx -14x = 0?a)y = 7x2b)y = 7x3c)y = x7d)y = 14xCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Which of the following functions is a solution for the differential equationdy/dx -14x = 0?a)y = 7x2b)y = 7x3c)y = x7d)y = 14xCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of Which of the following functions is a solution for the differential equationdy/dx -14x = 0?a)y = 7x2b)y = 7x3c)y = x7d)y = 14xCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Which of the following functions is a solution for the differential equationdy/dx -14x = 0?a)y = 7x2b)y = 7x3c)y = x7d)y = 14xCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Which of the following functions is a solution for the differential equationdy/dx -14x = 0?a)y = 7x2b)y = 7x3c)y = x7d)y = 14xCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Which of the following functions is a solution for the differential equationdy/dx -14x = 0?a)y = 7x2b)y = 7x3c)y = x7d)y = 14xCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Which of the following functions is a solution for the differential equationdy/dx -14x = 0?a)y = 7x2b)y = 7x3c)y = x7d)y = 14xCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 12 tests.
|
|
Explore Courses for Class 12 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup