MCQOPTIONS
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MCQOPTIONS
This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The function y=3 cosx is a solution of the function \(\frac{d^2 y}{dx^2}-3\frac{dy}{dx}\)=0. |
| A. | True |
| B. | False |
| Answer» C. | |
| 2. |
Which of the following differential equations given below has the solution y=logx? |
| 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 \(\frac{d^2 y}{dx^2}\)-logx=0 |
| Answer» C. \(\frac{d^2 y}{dx^2}\)–\(\frac{dy}{dx}\)=0 | |
| 3. |
Which of the following functions is a solution for the differential equation \(\frac{dy}{dx}\)-14x=0? |
| A. | y=7x2 |
| B. | y=7x3 |
| C. | y=x7 |
| D. | y=14x |
| Answer» B. y=7x3 | |
| 4. |
Which of the following functions is a solution for the differential equation y”+6y=0? |
| A. | y=5 cos3x |
| B. | y=5 tan3x |
| C. | y=cos3x |
| D. | y=6 cos3x |
| Answer» B. y=5 tan3x | |
| 5. |
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 | |
| 6. |
Which of the following functions is a solution for the differential equation xy’-y=0? |
| A. | y=4x |
| B. | y=x2 |
| C. | y=-4x |
| D. | y=2x |
| Answer» E. | |
| 7. |
The function y=8 sin2x is a solution of the differential equation \(\frac{d^2 y}{dx^2}\)+4y=0. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 8. |
Which of the following functions is the solution of the differential equation \(\frac{dy}{dx}\)+2y=0? |
| A. | y=-2e-x |
| B. | y=2ex |
| C. | y=e-2x |
| D. | y=e2x |
| Answer» D. y=e2x | |