>
Exams
>
Mathematics
>
Differential Equations
>
the order and degree of at 1 dy dx 2 1 2 d 2y dx 2
Question:
The order and degree of at
\(\left\{1+(\frac{dy}{dx})^2\right\}^{\frac{1}{2}}=(\frac{d^2y}{dx^2})^2\)
is
BCECE - 2017
BCECE
Updated On:
Sep 15, 2024
2, 2
2, 4
1, 2
1, 4
Hide Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
The correct option is (B) : 2, 4.
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Differential Equations
If \( y = y(x) \) is the solution of the differential equation,
\[ \sqrt{4 - x^2} \frac{dy}{dx} = \left( \left( \sin^{-1} \left( \frac{x}{2} \right) \right)^2 - y \right) \sin^{-1} \left( \frac{x}{2} \right), \] where \( -2 \leq x \leq 2 \), and \( y(2) = \frac{\pi^2 - 8}{4} \), then \( y^2(0) \) is equal to:
JEE Main - 2025
Mathematics
Differential Equations
View Solution
If \( p \) and \( q \) are respectively the order and degree of the differential equation \( \frac{d}{dx} \left( \frac{dy}{dx} \right)^3 = 0 \), then \( (p - q) \) is:
CBSE CLASS XII - 2025
Mathematics
Differential Equations
View Solution
If \( \frac{d}{dx}(y) = y \sin 2x \) and \( y(0) = 1 \), then what is the required solution?
CUET (PG) - 2025
Mechanical Engineering
Differential Equations
View Solution
Let $ y = y(x) $ be the solution of the differential equation
$ (x^2 + 1)y' - 2xy = (x^4 + 2x^2 + 1)\cos x, $
with the initial condition
$ y(0) = 1 $.
Then
$ \int_{-3}^{3} y(x) \, dx \text{ is:} $
JEE Main - 2025
Mathematics
Differential Equations
View Solution
Let $ y = y(x) $ be the solution curve of the differential equation
$ x(x^2 + e^x) \, dy + \left( e^x(x - 2) y - x^3 \right) \, dx = 0, \quad x>0, $
passing through the point $ (1, 0) $. Then $ y(2) $ is equal to:
JEE Main - 2025
Mathematics
Differential Equations
View Solution
View More Questions
Questions Asked in BCECE exam
Which of the following functional groups is NOT present in Aspartame?
BCECE - 2025
functional groups
View Solution
The pyrimidine bases present in DNA are:
BCECE - 2025
Structure of DNA and RNA
View Solution
What color does Silver Chloride (AgCl) turn upon exposure to sunlight?
BCECE - 2025
Chlorine
View Solution
What does sodium phthalate give on reaction with sodalime?
BCECE - 2025
Carboxylic Acids
View Solution
Angular shape of ozone molecule consists of
BCECE - 2025
The Valence Shell Electron Pair Repulsion (VSEPR) Theory
View Solution
View More Questions