MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The function y=3 cos x is a solution of the function ( frac{d^2 y}{dx^2}-3 frac{dy}{dx} )=0. |
| A. | True |
| B. | False |
| Answer» C. | |
| 2. |
The number of arbitrary constants in a particular solution of a fourth order differential equation is __________________ |
| A. | 1 |
| B. | 0 |
| C. | 4 |
| D. | 3 |
| Answer» C. 4 | |
| 3. |
How many arbitrary constants will be there in the general solution of a second order differential equation? |
| A. | 3 |
| B. | 4 |
| C. | 2 |
| D. | 1 |
| Answer» D. 1 | |
| 4. |
Which of the following differential equations given below has the solution y=log x? |
| A. | ( frac{d^2 y}{dx^2} )-x=0 |
| B. | ( frac{d^2 y}{dx^2}+( frac{dy}{dx})^2 )=0 |
| C. | ( frac{d^2 y}{dx^2} ) ( frac{dy}{dx} )=0 |
| D. | x ( frac{d^2 y}{dx^2} )-log u2061x=0 |
| Answer» C. ( frac{d^2 y}{dx^2} ) ( frac{dy}{dx} )=0 | |
| 5. |
Which of the following functions is a solution for the differential equation ( frac{dy}{dx} )-14x=0? |
| A. | y=7x<sup>2</sup> |
| B. | y=7x<sup>3</sup> |
| C. | y=x<sup>7</sup> |
| D. | y=14x |
| Answer» B. y=7x<sup>3</sup> | |
| 6. |
Which of the following functions is a solution for the differential equation y +6y=0? |
| A. | y=5 cos u20613x |
| B. | y=5 tan u20613x |
| C. | y=cos u20613x |
| D. | y=6 cos u20613x |
| Answer» B. y=5 tan u20613x | |
| 7. |
Which of the following differential equations has the solution y=3x2? |
| A. | ( frac{d^2 y}{dx^2} )-6x=0 |
| B. | ( frac{dy}{dx} )-3x=0 |
| C. | x ( frac{d^2 y}{dx^2} ) ( frac{dy}{dx} )=0 |
| D. | ( frac{d^2 y}{dx^2}- frac{3dy}{dx} )=0 |
| Answer» D. ( frac{d^2 y}{dx^2}- frac{3dy}{dx} )=0 | |
| 8. |
Which of the following functions is a solution for the differential equation xy -y=0? |
| A. | y=4x |
| B. | y=x<sup>2</sup> |
| C. | y=-4x |
| D. | y=2x |
| Answer» E. | |
| 9. |
The function y=8 sin 2x is a solution of the differential equation ( frac{d^2 y}{dx^2} )+4y=0. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 10. |
Which of the following functions is the solution of the differential equation ( frac{dy}{dx} )+2y=0? |
| A. | y=-2e<sup>-x</sup> |
| B. | y=2e<sup>x</sup> |
| C. | y=e<sup>-2x</sup> |
| D. | y=e<sup>2x</sup> |
| Answer» D. y=e<sup>2x</sup> | |