Explore topic-wise MCQs in Ordinary Differential Equations.

This section includes 4 Mcqs, each offering curated multiple-choice questions to sharpen your Ordinary Differential Equations knowledge and support exam preparation. Choose a topic below to get started.

1.

Which one of the following is not a criterion for linearity of an ordinary differential equation?

A. The dependent variable y and its derivatives are of first degree
B. The derivatives of the dependent variable y should be of second degree
C. No product terms of y and/or any of its derivatives are present
D. No transcendental functions of y and/or its derivatives occur
Answer» C. No product terms of y and/or any of its derivatives are present
Discussion
2.

What is the degree of the differential equation, 4x3-6x2 y3+2y=0?

A. 3
B. 5
C. 1
D. 8
Answer» C. 1
Discussion
3.

What is the order of the differential equation, y +y -x3y=sinx?

A. 2
B. 1
C. 0
D. 3
Answer» B. 1
Discussion
4.

Which of the following correctly defines ordinary differential equations?

A. A differential equation in which a dependent variable (say y ) depends on only one independent variable (say x )
B. A differential equation in which an independent variable (say y ) depends on only one dependent variable (say x )
C. A differential equation in which a dependent variable (say y ) depends on one or more independent variables (say x , t etc.)
D. A differential equation in which an independent variable (say y ) depends on one or more dependent variables (say x , t etc.)
Answer» B. A differential equation in which an independent variable (say y ) depends on only one dependent variable (say x )
Discussion