Differential Equations: Class 12 Mathematics (Bihar Board) important questions and practice
Differential Equations is chapter 9 of 13 in Bihar Board Class 12 Mathematics. Below are the topics the paper draws from, the question types that come up again and again, and a free practice test on this chapter alone.
Topics in this chapter
- Order and degree of a differential equation
- General and particular solutions
- Variable separable method
- Homogeneous differential equations (substitution y = vx)
- Linear differential equations dy/dx + Py = Q and integrating factor
What examiners usually ask
- Find the particular solution of dy/dx = (1 + y^2)/(1 + x^2) given y = 1 when x = 0
- Solve the homogeneous equation (x^2 + xy) dy = (x^2 + y^2) dx
- Solve the linear differential equation x dy/dx + 2y = x^2 log x
Exam tip
Identify the type before solving (separable, homogeneous when every term has the same degree, linear when it fits dy/dx + Py = Q), write the integrating factor e^(integral P dx) explicitly, and do not forget the constant and the particular-solution substitution.
Differential Equations on other boards and exams
Frequently asked questions
What are the important questions from Differential Equations for Bihar Board Class 12?
The question types listed above repeat most often in Bihar Board Class 12 Mathematics papers for this chapter. Practise them with the chapter test and then attempt them inside a full previous-year paper under time.
Is Differential Equations in the Bihar Board Class 12 Mathematics syllabus?
Yes. Differential Equations is part of the current Bihar Board Class 12 Mathematics syllabus, as listed on this site from the prescribed textbook.
Can I practise Differential Equations MCQs in Hindi?
Yes. The chapter test and explanations are available in Hindi and English, with an AI doubt solver for any question.