Homogeneous Differential Equations MCQs
Homogeneous Differential Equations MCQs
Class: CBSE Class 12
Subject: Mathematics
Section: Differential Equations
Topic: Homogeneous Differential Equations MCQs
Exam Focus: CBSE Board Examinations
Subject: Mathematics
Section: Differential Equations
Topic: Homogeneous Differential Equations MCQs
Exam Focus: CBSE Board Examinations
Instructions: These Multiple Choice Questions (MCQs) are designed strictly as per the NCERT syllabus, making them ideal for CBSE Class 12 Board Examination preparation. Detailed explanations ensure strong conceptual clarity.
Q1. A differential equation dy/dx = f(x,y) is homogeneous if:
Answer: a)
Definition of homogeneous function.
Definition of homogeneous function.
Q2. dy/dx = y/x is:
Answer: a)
Q3. Substitute y = vx gives:
Answer: a)
Q4. dy/dx = (x+y)/x ⇒ substitute:
Answer: a)
Q5. After substitution derivative becomes:
Answer: a)
Q6. dy/dx = (y−x)/(y+x) is:
Answer: a)
Q7. Homogeneous DE reduces to:
Answer: a)
Q8. dy/dx = (x²+y²)/(xy) is:
Answer: a)
Q9. Solution contains:
Answer: a)
Q10. Integral curve represents:
Answer: a)
Q11. dy/dx = y/x ⇒ solution:
Answer: a)
Q12. dy/dx = (x+y)/x ⇒ reduces to:
Answer: a)
Q13. Homogeneous functions degree same in:
Answer: a)
Q14. dy/dx = (x²−y²)/(xy) ⇒ type:
Answer: a)
Q15. Substitution simplifies by:
Answer: a)
Q16. dy/dx = y/x ⇒ order:
Answer: a)
Q17. Degree equals:
Answer: a)
Q18. Homogeneous DE solved using:
Answer: a)
Q19. Solution family represents:
Answer: a)
Q20. Homogeneous DE finally solved by:
Answer: a)
After reduction to separable form.
After reduction to separable form.