Q77.Let y = y(x) be the solution of the differential equation (x2 + 4)2dy + (2x3y + 8xy −2)dx = 0. If y(0) = 0, then y(2) is equal to (1) π (2) 2π 32 (3) π (4) π 8 16
What This Question Tests
This problem requires rearranging the given differential equation into the standard linear form, finding the integrating factor, and then solving the differential equation. Finally, the initial condition is used to find the constant of integration and evaluate y(2).
Concepts Tested
Formulas Used
dy/dx + P(x)y = Q(x)
Integrating Factor (IF) = e^∫P(x)dx
Solution: y * IF = ∫Q(x) * IF dx + C
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Differential Equations
- Topic
- Linear differential equations
- Year
- 2024
- Shift
- 04 Apr Shift 2
- Q Number
- Q77
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 9: Differential Equations
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