>
Exams
>
Mathematics
>
Differential equations
>
the solution of differential equation 2xdydx y 3 r
Question:
The solution of differential equation 2xdydx-y=3 represents a family of
Show Hint
Linear differential equations represent straight-line families.
BITSAT - 2010
BITSAT
Updated On:
Mar 18, 2026
circles
straight lines
ellipses
parabola
Show Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
Step 1:
Rearrange equation: (dy)/(dx)-(y)/(2x)=(3)/(2x)
Step 2:
Solution is linear in x and y.
Download Solution in PDF
Was this answer helpful?
0
0
Top BITSAT Mathematics Questions
If \(|z_1| = 2, |z_2| = 3, |z_3| = 4\) and \(|2z_1 + 3z_2 + 4z_3| = 4\), then absolute value of \(8z_2z_3 + 27z_3z_1 + 64z_1z_2\) equals
BITSAT - 2026
Mathematics
Complex Numbers and Quadratic Equations
View Solution
If \(a > 0, \, b > 0, \, c > 0\) and \(a, b, c\) are distinct, then \((a + b)(b + c)(c + a)\) is greater than
BITSAT - 2026
Mathematics
relationship between a.m. and g.m.
View Solution
The equation of a plane passing through three non-collinear points is determined using:
BITSAT - 2026
Mathematics
Plane
View Solution
Let \( A = \begin{bmatrix} 1 & 0 & 0 0 & 1 & 0 3 & 2 & 1 \end{bmatrix} \). Find \( A^{100} \).
BITSAT - 2026
Mathematics
types of matrices
View Solution
Let the foot of perpendicular from a point \( P(1,2,-1) \) to the straight line \( L: \frac{x}{1} = \frac{y}{0} = \frac{z}{-1} \) be \( N \). Let a line be drawn from \( P \) parallel to the plane \( x + y + 2z = 0 \) which meets \( L \) at point \( Q \). If \( \alpha \) is the acute angle between the lines PN and PQ, then \( \cos \alpha \) is equal to
BITSAT - 2026
Mathematics
Three Dimensional Geometry
View Solution
View More Questions
Top BITSAT Differential equations Questions
If $ x + \frac{1}{x} = 4 $, find the value of $ x^4 + \frac{1}{x^4} $.
BITSAT - 2025
Mathematics
Differential equations
View Solution
If $ a, b $ are roots of the equation $ x^2 - 5x + 6 = 0 $, find the value of $ a^3 + b^3 $.
BITSAT - 2025
Mathematics
Differential equations
View Solution
The number of solutions of the differential equation
\[ \frac{dy}{dx} = \frac{y+1}{x-1} \]
when \( y(1) = 2 \) is:
BITSAT - 2023
Mathematics
Differential equations
View Solution
x=logp and y=1/p differential equation
BITSAT - 2023
Mathematics
Differential equations
View Solution
If φ(x) is a differentiable function, then the solution of the differential equation dy+yφ'(x)-φ(x)φ'(x)dx=0 is
BITSAT - 2019
Mathematics
Differential equations
View Solution
View More Questions
Top BITSAT Questions
In an experiment with Vernier calipers of least count 0.1 mm, when two jaws are joined together the zero of Vernier scale lies right to the zero of the main scale and 6th division of Vernier scale coincides with the main scale division. While measuring the diameter of a spherical bob, the zero of Vernier scale lies in between 3.2 cm and 3.3 cm marks, and 4th division of Vernier scale coincides with the main scale division. The diameter of bob is measured as
BITSAT - 2026
Dimensions of physical quantities
View Solution
A passenger sitting in a train A moving at 90 km/h observes another train B moving in the opposite direction for 8 s. If the velocity of the train B is 54 km/h, then length of train B is:
BITSAT - 2026
Relative Velocity
View Solution
A vector \(\sqrt{3}\hat{i} + \hat{j}\) rotates about its tail through an angle 30\(^\circ\) in clock wise direction then the new vector is
BITSAT - 2026
Vectors
View Solution
If the minimum force required to move a body up an inclined plane of inclination 45\(^\circ\) is 3 times the force required to just prevent it sliding down, the coefficient of friction is
BITSAT - 2026
Friction
View Solution
The screening effect of d-electrons is
BITSAT - 2026
Atomic Structure
View Solution
View More Questions