MCQOPTIONS
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MCQOPTIONS
This section includes 9 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. |
What is the order of the partial differential equation, ( frac{ ^2 z}{ x^2}-( frac{ z}{ y})^5+ frac{ ^2 z}{ x y}=0 )? |
| A. | Order-5 |
| B. | Order-1 |
| C. | Order-4 |
| D. | Order-2 |
| Answer» E. | |
| 2. |
Which of the following represents the canonical form of a second order parabolic PDE? |
| A. | ( frac{ ^2 z}{ ^2}+ =0 ) |
| B. | ( frac{ ^2 z}{ }+ =0 ) |
| C. | ( frac{ ^2 z}{ ^2}+ frac{ ^2 z}{ ^2} =0 ) |
| D. | ( frac{ ^2 z}{ ^2}+ =0 ) |
| Answer» B. ( frac{ ^2 z}{ }+ =0 ) | |
| 3. |
What is 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. |
Heat Equation is an example of elliptical partial differential equation. |
| A. | True |
| B. | False |
| Answer» C. | |
| 5. |
What is another name for heat equation? |
| A. | Induction equation |
| B. | Condenser equation |
| C. | Diffusion equation |
| D. | Solar equation |
| Answer» D. Solar equation | |
| 6. |
In mathematics, an initial condition (also called a seed value), is a value of an evolving variable at some point in time designated as the initial time (t=0). |
| A. | False |
| B. | True |
| Answer» C. | |
| 7. |
Under ideal assumptions, what is the two-dimensional heat equation? |
| A. | u<sub>t</sub> = c <sup>2</sup> u = c(u<sub>xx</sub> + u<sub>yy</sub>) |
| B. | u<sub>t</sub> = c<sup>2</sup> u<sub>xx</sub> |
| C. | u<sub>t</sub> = c<sup>2</sup> <sup>2</sup> u = c<sup>2</sup> (u<sub>xx</sub> + u<sub>yy</sub>) |
| D. | u<sub>t</sub> = <sup>2</sup> u = (u<sub>xx</sub> + u<sub>yy</sub>) |
| Answer» D. u<sub>t</sub> = <sup>2</sup> u = (u<sub>xx</sub> + u<sub>yy</sub>) | |
| 8. |
Which of the following is not a field in which heat equation is used? |
| A. | Probability theory |
| B. | Histology |
| C. | Financial Mathematics |
| D. | Quantum Mechanics |
| Answer» C. Financial Mathematics | |
| 9. |
Who was the first person to develop the heat equation? |
| A. | Joseph Fourier |
| B. | Galileo Galilei |
| C. | Daniel Gabriel Fahrenheit |
| D. | Robert Boyle |
| Answer» B. Galileo Galilei | |