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Class 12 Mathematics — Chapter 9: Differential Equations
66 practice questions · 22 Easy · 22 Medium · 22 Hard
Free NCERT-aligned multiple-choice practice for Class 12 Mathematics, Chapter 9 (Differential Equations). Practise timed Easy, Medium and Hard quizzes with instant explanations — built for CBSE Board exams, JEE Main and NEET UG. Here are a few sample questions; sign in free to practise all 66.
Sample questions
Q1Easy
Order of d²y/dx² + dy/dx + y = 0:
A.2✓ correct
B.1
C.3
D.0
Why
Highest derivative is 2nd.
Q2Medium
Linear DE dy/dx + Py = Q has integrating factor:
A.e^(∫P dx)✓ correct
B.e^x
C.P·Q
D.Q/P
Why
Multiply by IF to integrate.
Q3Hard
A homogeneous DE is solved by substitution:
A.y = vx✓ correct
B.y = e^x
C.y = sin x
D.y = 0
Why
Reduces to separable in v.
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