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.

What is the degree of first order differential equation, given by \(\left(\frac{dy}{dx}\right)^{1.5} = \left(\frac{x cos⁡x}{x^2+\sqrt{sin⁡x}}\right)^3\)?

A. 1.5
B. 1
C. 3
D. 0.5
Answer» C. 3
Discussion
2.

The process of formation of the differential equation is given in the wrong order, select the correct option from below given options.1) Eliminate the arbitrary constants.2) Differential equation which involves x,y,\(\frac{dy}{dx}.\) 3) Differentiating the given equation w.r.t x as many times as the number of arbitrary constants.

A. 1,2,3
B. 3,2,1
C. 3,1,2
D. 2,1,3
Answer» D. 2,1,3
Discussion
3.

Given the differential equation \(\frac{dy}{dx} = \frac{x^4-y^4}{(x^2+y^2)xy}\) the degree of differential equation is _____________

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

What is the order of the differential equation given by \(\frac{dy}{dx} + 4y = sin x\)?

A. 0.5
B. 1
C. 2
D. 0
Answer» C. 2
Discussion