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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. |
Find the degree of the equation (8 left ( frac{d^2 y}{dx^2} right )^2+2( frac{dy}{dx})^2+y=0 ). |
| A. | 4 |
| B. | 1 |
| C. | 3 |
| D. | 2 |
| Answer» E. | |
| 2. |
Find the order of the differential ( left ( frac{d^2 y}{dx^3} right )^3+5 ) cos x-sin x=0 |
| A. | 3 |
| B. | 2 |
| C. | 1 |
| D. | 4 |
| Answer» C. 1 | |
| 3. |
Find the degree of the D.E y -10y=0. |
| A. | 1 |
| B. | 2 |
| C. | 4 |
| D. | 3 |
| Answer» B. 2 | |
| 4. |
The degree of the differential equation is not defined if it is not polynomial. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 5. |
Find the order and degree of the differential equation 3y -y -ey=0 |
| A. | Order 2, Degree Not defined |
| B. | Order 1, Degree 1 |
| C. | Order 1, Degree Not defined |
| D. | Order 3, Degree 3 |
| Answer» B. Order 1, Degree 1 | |
| 6. |
Find the degree of the differential equation (3( frac{d^2 y}{dx^2})-( frac{dy}{dx})^2 )+sin y=0. |
| A. | 1 |
| B. | 3 |
| C. | 2 |
| D. | Not defined |
| Answer» B. 3 | |
| 7. |
Find the order of the differential equation ( left ( frac{3d^2 y}{dx^2} right )+cos (y )=0 ) |
| A. | 4 |
| B. | 1 |
| C. | 3 |
| D. | 2 |
| Answer» E. | |
| 8. |
Find the degree of the differential equation ( frac{d^3 y}{dx^3}+y^2 )=0 |
| A. | 5 |
| B. | 4 |
| C. | 2 |
| D. | 1 |
| Answer» E. | |
| 9. |
Find the order and degree of the D.E ( left ( frac{d^3 y}{dx^3} right )-3 left ( frac{d^2 y}{dx^2} right )+2 left ( frac{dy}{dx} right )^4+y^3=0 ). |
| A. | Order 2, Degree 4 |
| B. | Order 2, Degree 1 |
| C. | Order 3, Degree 1 |
| D. | Order 1, Degree 3 |
| Answer» D. Order 1, Degree 3 | |
| 10. |
Find the order of the D.E ( frac{2y }{ sqrt{3}}-(2y )^2+y=0 ). |
| A. | 4 |
| B. | 2 |
| C. | 1 |
| D. | 3 |
| Answer» C. 1 | |