Explore topic-wise MCQs in Ordinary Differential Equations.

This section includes 8 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.

The equation \(2\frac{dy}{dx} – xy = y^{-2},\) is an example for Bernoulli’s equation.

A. False
B. True
Answer» C.
Discussion
2.

Which of the following is the property of error function?

A. erf (0) = 1
B. erf (∞) = 1
C. erf (0) = ∞
D. erf (∞) = 0
Answer» C. erf (0) = ∞
Discussion
3.

Beta function is not a symmetric function.

A. True
B. False
Answer» C.
Discussion
4.

Which of the following is one of the criterions for linearity of an equation?

A. The dependent variable and its derivatives should be of second order
B. The dependent variable and its derivatives should not be of same order
C. Each coefficient does not depend on the independent variable
D. Each coefficient depends only on the independent variable
Answer» E.
Discussion
5.

\(xy^3(\frac{dy}{dx})^2+yx^2+\frac{dy}{dx}=0\) is a _____________

A. Second order, third degree, linear differential equation
B. First order, third degree, non-linear differential equation
C. First order, third degree, linear differential equation
D. Second order, third degree, non-linear differential equation
Answer» C. First order, third degree, linear differential equation
Discussion
6.

Determine the current i(t) for the circuit shown, if the initial current is zero.

A. i(t) = 9 – 9e8t
B. i(t) = 9 – e-8t
C. i(t) = 9 – 9e-8t
D. i(t) = 8 – 9e-8t
Answer» D. i(t) = 8 – 9e-8t
Discussion
7.

Find the solution of the system using Gauss Elimination method.

A. x = 18, y = -18, z = -22
B. x = -12, y = -18, z = 22
C. x = 34, y = -18, z = -22
D. x = -18, y = -12, z = 22View Answer
Answer» D. x = -18, y = -12, z = 22View Answer
Discussion
8.

Find the solution for \(\lim_{x\to 0}⁡ \frac{ax}{ax+x}.\)

A. 0
B. a
C. 1
D. \(\frac{a}{a+1}\)
Answer» E.
Discussion