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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. |
A partial differential equation is one in which a dependent variable (say x ) depends on an independent variable (say y ). |
| A. | False |
| B. | True |
| Answer» B. True | |
| 2. |
Which of the following represents Lagrange s linear equation? |
| A. | P+Q=R |
| B. | Pp+Qq=R |
| C. | p+q=R |
| D. | Pp+Qq=P+Q |
| Answer» C. p+q=R | |
| 3. |
Which of the following equations represents Clairaut s partial differential equation? |
| A. | z=px+f(p,q) |
| B. | z=f(p,q) |
| C. | z=p+q+f(p,q) |
| D. | z=px+qy+f(p,q) |
| Answer» E. | |
| 4. |
Which of the following is a type of Iterative method of solving non-linear equations? |
| A. | Graphical method |
| B. | Interpolation method |
| C. | Trial and Error methods |
| D. | Direct Analytical methods |
| Answer» C. Trial and Error methods | |
| 5. |
A solution which does not contain any arbitrary constants is called a general solution. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 6. |
Solution of a differential equation is any function which satisfies the equation. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 7. |
Which of the following is not a standard method for finding the solutions for differential equations? |
| A. | Variable Separable |
| B. | Homogenous Equation |
| C. | Orthogonal Method |
| D. | Bernoulli s Equation |
| Answer» D. Bernoulli s Equation | |
| 8. |
Which of the following is an example of non-linear differential equation? |
| A. | y=mx+c |
| B. | x+x =0 |
| C. | x+x<sup>2</sup>=0 |
| D. | x +2x=0 |
| Answer» D. x +2x=0 | |