WBJEE 2025 Differential Equations Practice Questions with Solutions

WBJEE 2025 Differential Equations Practice with Solutions: If you are appearing for the WBJEE 2025 exam this year, you should know that the Differential Equations chapter holds significant importance in the Mathematics paper (Paper I). The best way to ensure a well-rounded preparation is to solve WBJEE 2025 Differential Equations practice questions from the previous year's exam papers. The Differential Equations topic has a weightage of around 4% and every year, a minimum of 2 questions are aksed from this chapter. In the WBJEE exam 2025, you can expect 3-4 questions from this topic. Since each correct answer in the Category I will be rewarded one mark and in Category II will fetch 2 marks, you have a chance to score 5-6 marks from Differential Equations alone. 

However, considering the Differential Equations chapter is often considered one of the difficult sections from the WBJEE 2025 Mathematics syllabus PDF, you should pay attention to this topic and prepare by solving as many practice questions as possible. In this article, we have compiled some of the frequently asked WBJEE Differential Equations practice questions with solutions to give you an idea of what to expect in the exam paper. 

Also Check - WBJEE 2025 Mathematics Topic Wise Weightage & Important Topics

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List of WBJEE 2025 Differential Equations Sub Topics for Exam Preparation

The Differential Equations chapter from the WBJEE 2025 syllabus PDF covers the following sub topics which need to be prepared thoroughly before you start attempting WBJEE 2025 Differential Equations practice questions with solutions. 

WBJEE 2025 Differential Equations Expected Weightage

In the following table, we have mentioned the expected marks and WBJEE 2025 Differential Equations questions weightage so you know how much emphasis needs to be given to the chapter. 

WBJEE 2025 Differential Equations Practice Questions with Solutions

In the following section, we have mentioned some of the WBJEE Differential Equations practice questions with solutions. Our experts have listed these questions after analyzing the past exam trends and the previous year question papers of WBJEE exam. You can refer to these questions to prepare for the upcoming examination:

Q1. The function f(x) which satisfies f(x)=f(-x) = f’(x)/x is given by:

Ans. d.

Q2. The degree of the differential equation is:

a. 1

b. 5

c. 10/3

d. 3

Ans. d. 3

Solution:

Given differential equation is:

Cubing both sides

Degree = 3

Q3. The solution of the differential equation is:

Ans. b. , c integrating constant

Solution:

Integrating both sides

Q4. If where y(0) = 1, y’(0) = 0, then the value of y at x= loge2 is:

a. 1

b. -1

c. 2

d. 0

Ans. d. 0

Solution:

Let y = emx be the trial solution

Given equation reduces to

m = 2, 1 roots are real and distinct

The general solution is

 y(0) = 1 

 (i) gives 1 = A + B ...... (iii)

 y'(0) = 0 

 (ii) gives 0 = A + 2B ...... (iv)

Solving (iii) and (iv), we get

B = 1, A = 2

at

Q5. The solution of the differential equation xdy – ydx = 0 represents a:

a. Parabola

b. Circle

c. Hyperbola 

d. Straight Line

Ans. d. Straight Line

Solution: 

Y=cx is a straight line

Q6. The equation of one of the curves whose slope at any point is equal to y + 2x is:

a.

b.

c.

Ans. b.

Q7. The degree of the differential equation

a. 3

b. 2

c. 1

d. Not defined
Ans. c. 1d.

Q8. The differential equation of all parabolas whose axes are parallel to the y-axis is: