>
Exams
>
Mathematics
>
Solutions of Differential Equations
>
the solution of the differential equation dy dx y
Question:
The solution of the differential equation
\(\frac{dy}{dx}+y=3e^xy^3\)
is :
CUET (PG) - 2023
CUET (PG)
Updated On:
Mar 21, 2024
\(\frac{1}{y^2}=6e^x+ce^{2x}\)
\(\frac{1}{y^2}=6e^{-x}+ce^{2x}\)
\(\frac{1}{y^2}=6e^x+ce^{-2x}\)
\(\frac{1}{y^2}=6e^{-x}+ce^{-2x}\)
Hide Solution
Verified By Collegedunia
The Correct Option is
A
Solution and Explanation
The correct option is(A):
\(\frac{1}{y^2}=6e^x+ce^{2x}\)
.
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Solutions of Differential Equations
The general solution of the differential equation y"+y = 6sin x is:
CUET (PG) - 2023
Mathematics
Solutions of Differential Equations
View Solution
The general solution of differential equation
\(\frac{d^2y}{dx^2}+9y=sin^3x\)
is
(given that c
1
and c
2
are arbitrary constants)
CUET (PG) - 2023
Mathematics
Solutions of Differential Equations
View Solution
The general solution of the differential equation xdy - ydx - 0 represents :
CUET (UG) - 2023
Mathematics
Solutions of Differential Equations
View Solution
The general solution of the differential equation
\(2x^2 \frac{d^2y}{dx^2}=x\frac{dy}{dx}-6y=0\)
is :
CUET (PG) - 2023
Mathematics
Solutions of Differential Equations
View Solution
The general solution of
\((D^2+6D+9)y=\frac{e^{-3x}}{x^2}\)
, where
\(D\equiv \frac{d}{dx}\)
is
(given that c
1
and c
2
are arbitrary constants)
CUET (PG) - 2023
Mathematics
Solutions of Differential Equations
View Solution
View More Questions
Questions Asked in CUET PG exam
Find out the degree of the differential equation
\(\frac {d^2t}{ds^2}+(\frac {dt}{ds})^2+2t=0\)
CUET (PG) - 2023
Differential Equations
View Solution
The surface area of the sphere x
2
+ y
2
+ z
2
= 9 lying inside the cylinder x
2
+ y
2
= 3y is
CUET (PG) - 2023
Surface Area of Cube, Cuboid and Cylinder
View Solution
The Ombudsman in a newspaper organisation represents the point of view of the ___.
CUET (PG) - 2023
Journalism
View Solution
The orthogonal trajectories of the family of curves y =
\(ax^3\)
is
CUET (PG) - 2023
Curves
View Solution
The minimum distance of the point (3, 4, 12) from the sphere x
2
+ y
2
+ z
2
= 1 is
CUET (PG) - 2023
Coordinate Geometry
View Solution
View More Questions