Q.1.
What are the two methods used to find the type of PDEs?
- a) Lagrangian Method and Eulerian method
- b) Cramer’s method and Eulerian method
- c) Cramer’s method and Lagrangian Method
- d) Cramer’s method and Eigenvalue method
Q.2.
How the type of PDE is identified using Cramer’s rule?
- a) By equating the Cramer’s denominator to 1
- b) By equating the Cramer’s numerator to 1
- c) By equating the Cramer’s denominator to 0
- d) By equating the Cramer’s numerator to 0
Q.3.
What are the Cramer’s solutions equated to while using Cramer’s method of classifying a PDE?
- a) The dependent variables
- b) The derivatives of dependent variables
- c) The second derivatives of dependent variables
- d) The highest derivatives of dependent variables
Q.4.
_________ of the characteristic curves is used to find the type of PDE.
- a) Starting point
- b) Centre
- c) Length
- d) Slope
Q.5.
What is the Cramer’s numerator when the solution is the derivative of dependent variables?
- a) any negative value
- b) any positive value
- c) 1
- d) 0
Q.6.
The Eigenvalues in the Eigenvalue method are ____________
- a) the type of the characteristic lines
- b) the type of PDE
- c) the slope of the characteristic lines
- d) the slope of PDE
Q.7.
When the Eigenvalues are a mixture of real and imaginary values, the PDE is ___________
- a) elliptic-hyperbolic
- b) parabolic
- c) elliptic
- d) hyperbolic
Q.8.
Solutions of a system of PDEs can be obtained by equating the numerator of Cramer’s solution while using Cramer’s rule. This method is used by __________
- a) Integral transform
- b) Change of variables
- c) Separation of variables
- d) Method of characteristics