MCQOPTIONS
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MCQOPTIONS
This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Partial Differential Equations knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Which of the following is the condition for a second order partial differential equation to be hyperbolic? |
| A. | b<sup>2</sup>-ac < 0 |
| B. | b<sup>2</sup>-ac=0 |
| C. | b<sup>2</sup>-ac>0 |
| D. | b<sup>2</sup>-ac= < 0 |
| Answer» D. b<sup>2</sup>-ac= < 0 | |
| 2. |
Wave equation is a linear elliptical partial differential equation. |
| A. | False |
| B. | True |
| Answer» B. True | |
| 3. |
The half-interval method in numerical analysis is also known as __________ |
| A. | Newton-Raphson method |
| B. | Regula Falsi method |
| C. | Taylor s method |
| D. | Bisection method |
| Answer» E. | |
| 4. |
What is the order of the partial differential equation, ( frac{ z}{ x}-( frac{ z}{ y})^3=0 )? |
| A. | Order-5 |
| B. | Order-1 |
| C. | Order-4 |
| D. | Order-2 |
| Answer» C. Order-4 | |
| 5. |
The wave equation is known as d Alembert s equation. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 6. |
In which of the following fields, does the wave equation not appear? |
| A. | Acoustics |
| B. | Electromagnetics |
| C. | Pedology |
| D. | Fluid Dynamics |
| Answer» D. Fluid Dynamics | |
| 7. |
Wave equation is a third-order linear partial differential equation. |
| A. | True |
| B. | False |
| Answer» C. | |
| 8. |
Who discovered the one-dimensional wave equation? |
| A. | Jean d Alembert |
| B. | Joseph Fourier |
| C. | Robert Boyle |
| D. | Isaac Newton |
| Answer» B. Joseph Fourier | |