Explore topic-wise MCQs in Partial Differential Equations.

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