>
Exams
>
Mathematics
>
Order and Degree of Differential Equation
>
the degree of the differential equation 1 dy dx 2
Question:
The degree of the differential equation
\(1+(\frac{dy}{dx})^2+(\frac{d^2y}{dx^2})^2= \sqrt[3]{\frac{d^2y}{dx^2}+1}\)
is
KCET - 2023
KCET
Updated On:
Apr 17, 2024
1
6
2
3
Hide Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
The correct answer is (B) : 6.
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Order and Degree of Differential Equation
Domain of
\(cos^{-1} [x]\)
, where
\([. ]\)
denotes a greatest integer function
KCET - 2022
Mathematics
Order and Degree of Differential Equation
View Solution
The order of the differential equation obtained by eliminating arbitrary constants in the family of curves
$c_1y = (c_2 +c_3 )e^{x+c_4}$
is
KCET - 2020
Mathematics
Order and Degree of Differential Equation
View Solution
The order of differential equation of all circles of given radius
$'a'$
is _____
KCET - 2015
Mathematics
Order and Degree of Differential Equation
View Solution
The order and degree of the differential equation
$y=x\frac{dy}{dx}+\frac{2}{\frac{dy}{dx}}$
is
KCET - 2014
Mathematics
Order and Degree of Differential Equation
View Solution
Solution of
$e^\frac {dy}{dx} = x$
when
$x = 1$
and
$y = 0$
is
KCET - 2012
Mathematics
Order and Degree of Differential Equation
View Solution
View More Questions
Questions Asked in KCET exam
The speed of sound in an ideal gas at a given temperature T is v. The rms speed of gas molecules at that temperature is v
rms
. The ratio of the velocities v and v
rms
for helium and oxygen gases are X and X' respectively. Then
\(\frac{X}{X'}\)
is equal to
KCET - 2023
Thermodynamics
View Solution
If
\(p(\frac{1}{q}+\frac{1}{r}),q(\frac{1}{r}+\frac{1}{p}),r(\frac{1}{p}+\frac{1}{q})\)
are in A.P., then p, q, r
KCET - 2023
Arithmetic Progression
View Solution
A stretched wire of a material whose Young's modulus Y = 2 × 10
11
Nm
-2
has Poisson's ratio of 0.25. Its lateral strain ε
l
= 10
-3
. The elastic energy density of the wire is
KCET - 2023
mechanical properties of solids
View Solution
A metallic rod of length 1 m held along east-west direction is allowed to fall down freely. Given horizontal component of earth’s magnetic field B
H
= 3 × 10
-5
T. The emf induced in the rod at an instant t = 2s after it is released is ( Take g = 10 ms
-2
)
KCET - 2023
Faradays laws of induction
View Solution
A 60 W source emits monochromatic light of wavelength 662.5 nm. The number of photons emitted per second is
KCET - 2023
Quantum Physics
View Solution
View More Questions