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Differential Equations
JEE Mathematics • 10 questions • Free on ExamBattle
Practice Questions
Q1
The order of the differential equation d²y/dx² + 3(dy/dx) + 2y = 0 is:
- A. 1
- B. 2
- C. 3
- D. 0
Q2
A differential equation dy/dx = f(x) is called:
- A. Exact
- B. Separable
- C. Linear
- D. Homogeneous
Q3
The solution to dy/dx = 2x is:
- A. y = x + C
- B. y = x² + C
- C. y = 2 + C
- D. y = x² + x + C
Q4
A linear differential equation has the form dy/dx + P(x)y = ?
- A. P(x)
- B. Q(x)
- C. 0
- D. y
Q5
A homogeneous differential equation has degree:
- A. 0
- B. 1
- C. 2
- D. undefined
Q6
The degree of d³y/dx³ + (d²y/dx²)² = x is:
- A. 1
- B. 2
- C. 3
- D. undefined
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