MCQOPTIONS
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MCQOPTIONS
This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Ordinary Differential Equations knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Solution of a differential equation is any function which satisfies the equation. |
| A. | False |
| B. | True |
| Answer» C. | |
| 2. |
Which of the following is not a standard method for finding the solutions for differential equations? |
| A. | Variable Separable |
| B. | Homogenous Equation |
| C. | Bernoulli’s Equation |
| D. | Orthogonal Method |
| Answer» E. | |
| 3. |
Which of the following is not an example of linear differential equation? |
| A. | y=mx+c |
| B. | x+x’=0 |
| C. | x+x2=0 |
| D. | x”+2x=0 |
| Answer» D. x”+2x=0 | |
| 4. |
Which one of the following is not a criterion for linearity of an ordinary differential equation? |
| A. | The dependent variable y and its derivatives are of first degree |
| B. | The derivatives of the dependent variable y should be of second degree |
| C. | No product terms of y and/or any of its derivatives are present |
| D. | No transcendental functions of y and/or its derivatives occur |
| Answer» C. No product terms of y and/or any of its derivatives are present | |
| 5. |
What is the degree of the differential equation, 4x3-6x2 y3+2y=0? |
| A. | 3 |
| B. | 5 |
| C. | 1 |
| D. | 8 |
| Answer» C. 1 | |
| 6. |
What is the order of the differential equation, y”+y’-x3y=sinx? |
| A. | 2 |
| B. | 1 |
| C. | 0 |
| D. | 3 |
| Answer» B. 1 | |
| 7. |
A partial differential equation is one in which a dependent variable (say ‘y’) depends on one or more independent variables (say ’x’, ’t’ etc.) |
| A. | False |
| B. | True |
| Answer» C. | |
| 8. |
Which of the following correctly defines ordinary differential equations? |
| A. | A differential equation in which a dependent variable (say ‘y’) depends on only one independent variable (say ’x’) |
| B. | A differential equation in which an independent variable (say ‘y’) depends on only one dependent variable (say ’x’) |
| C. | A differential equation in which a dependent variable (say ‘y’) depends on one or more independent variables (say ’x’, ’t’ etc.) |
| D. | A differential equation in which an independent variable (say ‘y’) depends on one or more dependent variables (say ’x’, ’t’ etc.) |
| Answer» B. A differential equation in which an independent variable (say ‘y’) depends on only one dependent variable (say ’x’) | |