Class 12 Math: Differential Equations Important Exam Questions

Preparing for school exams or final CBSE boards requires practicing questions patterned after official grading schemes. We have compiled a list of crucial questions for Class 12 Differential Equations to help you test your mastery.

Exam-Pattern Questions and Answers

Question 1 (EASY)

• Option 1: 2
• Option 2: 1
• Option 3: not defined
• Option 4: 0

Solution Explanation & Steps: (c) not defined

Question 2 (EASY)

• Option 1: 2 1 1y -
• Option 2: 2 1 1y -
• Option 3: 2 1 1 y-
• Option 4: 2 1 1 y-

Solution Explanation & Steps: (d) 2 1 1 y-

Question 3 (MEDIUM)

This is a descriptive problem. Work out all steps on paper before checking the solution.

Solution Explanation & Steps: It is a homogenous equation ∴ y = vx OR Find the general solution of the differential equation: 2 2( 1) 2 4dyx xy x dx+ + = + Ans: Equation is the linear form ∴ Integrating factor ∴ Solution of differential equation

Grading Step-Marking Guidelines

Remember that teachers award partial marks for writing down formulas, stating the given variables, and drawing diagrams. Never leave a question blank on an exam. Write down the relevant formulas and initial substitution steps to secure partial credits.