JEE (Main) Mathematics - DIFFRENTIAL EQUATIONS Multiple Choice Questions (MCQs)
JEE (Main) Mathematics - Differential Equations MCQs
1. What is the order of the differential equation
dy³/dx³ + (dy/dx)² = 0?
A) 1
B) 2
C) 3
D) 4
Answer: C
2. Which of the following differential equations has the degree 2?
A) (d²y/dx²)² + y = 0
B) sin(dy/dx) + y = 0
C) d³y/dx³ + d²y/dx² = 0
D) d⁴y/dx⁴ + (dy/dx)³ = 0
Answer: A
3. The degree of the differential equation
((d²y/dx²)³ + √(dy/dx) = 0)
is:
A) 1
B) 2
C) 3
D) Not defined
Answer: D
4. What is the order of the differential equation
sin(d²y/dx²) + dy/dx = 0?
A) 1
B) 2
C) 3
D) Not defined
Answer: B
5. Which of the following is an ordinary differential equation?
A) ∂²y/∂x² + y = 0
B) d²y/dx² + x·dy/dx + y = 0
C) ∂²u/∂x∂y = 0
D) None of these
Answer: B
15. What is the degree and order of the differential equation
((d³y/dx³)² + d²y/dx² = 0)?
A) Order = 2, Degree = 1
B) Order = 3, Degree = 2
C) Order = 3, Degree = 1
D) Not defined
Answer: B
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