Class 12 Maths Chapter 9: Differential Equations PYQs
Practice Differential Equations through topic-wise previous year questions (2008-2026). These modules cover order/degree, formation, and solution methods.
Begin by identifying order and degree, then practise forming equations from families of curves before selecting a solution method. The variable-separable, homogeneous, and linear sections emphasise correct rearrangement, integrating factors, constants of integration, and interpretation of case-study conditions.
Topic-wise PYQ Practice
- 1. Order and Degree
- 2. Formation of DEs
- 3. Variable Separable Method
- 4. Homogeneous Equations
- 5. Linear Differential Equations
- 6. Case Study & Competency
Step-wise marking is strictly enforced across all 2-mark, 3-mark, and 5-mark subjective questions. Always quote standard algebraic identities or theorem statements before carrying out algebraic substitutions. For matrix operations and vector cross-products, clearly tabulate intermediate matrix rows and components to guarantee full partial credit even if a minor arithmetic slip occurs in the final step.
CBSE Class 12 Chapter 9: Differential Equations Blueprint & Exam Strategy
Marks Weightage: Unit III: Calculus (Contributes 4 to 6 Marks). Question blueprint: Regularly features 1 MCQ on determining order and degree of a differential equation, and one 3-Mark or 5-Mark problem solving either a Homogeneous differential equation (put y = vx) or a Linear Differential Equation (dy/dx + Py = Q).
Examiner Advice: Remember that degree is only defined when the differential equation is a polynomial in its derivatives (e.g. dy/dx inside sin, cos, or e^(dy/dx) means degree is not defined). For linear differential equations, write the standard form first, calculate Integrating Factor IF = e^(integral P dx), and write the solution y * IF = integral (Q * IF) dx + C.