Question:
Match List I with List IIList I
Differential Equation List II
Particular Integral (P.I) A. (D2+6D+9)y=e3x I. \(\frac{x}{6}\sin3x\) B. (D2-6D+9)y=3 II. \(-\frac{1}{5}\cos3x\) C. (D2+4)y=cos3x III. \(\frac{1}{3}\) D. (D2+9)y= cos3x IV. \(\frac{1}{36}e^{3x}\)
Choose the correct answer from the options given below:
Match List I with List II
Choose the correct answer from the options given below:
| List I Differential Equation | List II Particular Integral (P.I) | ||
| A. | (D2+6D+9)y=e3x | I. | \(\frac{x}{6}\sin3x\) |
| B. | (D2-6D+9)y=3 | II. | \(-\frac{1}{5}\cos3x\) |
| C. | (D2+4)y=cos3x | III. | \(\frac{1}{3}\) |
| D. | (D2+9)y= cos3x | IV. | \(\frac{1}{36}e^{3x}\) |
Updated On: Mar 21, 2024
- A-IV, B-III, C-II, D-I
- A-III, B-II, C-I, D-IV
- A-II, B-I, C-III, D-IV
- A-I, B-IV, C-II, D-III
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The correct option is(A):A-IV, B-III, C-II, D-I.
Was this answer helpful?
0
0
Top Questions on Differential Equations
- The integrating factor of the differential equation \[ (y \log_e y) \frac{dx}{dy} + x = 2 \log_e y \] is:
- CUET (UG) - 2024
- Mathematics
- Differential Equations
- If the solution of the differential equation \[ \frac{dy}{dx} = \frac{ax + 3}{2y + 5} \] represents a circle, then $a$ is equal to:
- CUET (UG) - 2024
- Mathematics
- Differential Equations
- Let \( y = y(x) \) be the solution of the differential equation\[\frac{dy}{dx} + \frac{2x}{\left( 1 + x^2 \right)^2} y = x e^{\frac{1}{1+x^2}}, \quad y(0) = 0. \] Then the area enclosed by the curve \[ f(x) = y(x) e^{\frac{1}{1+x^2}} \]and the line \( y - x = 4 \) is _______.
- JEE Main - 2024
- Mathematics
- Differential Equations
- The differential equation of the family of circles passing the origin and having center at the line y = x is:
- JEE Main - 2024
- Mathematics
- Differential Equations
- If \( y = y(x) \) is the solution of the differential equation \(\frac{dy}{dx} + 2y = \sin(2x), \quad y(0) = \frac{3}{4},\)then \(y\left(\frac{\pi}{8}\right)\) is equal to:
- JEE Main - 2024
- Mathematics
- Differential Equations
View More Questions
Questions Asked in CUET PG exam
- The surface area of the sphere x2 + y2 + z2 = 9 lying inside the cylinder x2 + y2 = 3y is
- CUET (PG) - 2023
- Surface Area of Cube, Cuboid and Cylinder
- The Ombudsman in a newspaper organisation represents the point of view of the ___.
- CUET (PG) - 2023
- Journalism
- The orthogonal trajectories of the family of curves y = \(ax^3\) is
- The minimum distance of the point (3, 4, 12) from the sphere x2 + y2 + z2 = 1 is
- CUET (PG) - 2023
- Coordinate Geometry
- The work done by the force \(\overrightarrow F = (x^2-y^2)\hat{i} + (x+y)\hat{j}\) in moving a particle along the closed path C containing the curves x + y = 0, x2+ y2 = 16 and y = x in the first and fourth quadrant is
- CUET (PG) - 2023
- Vector Algebra
View More Questions