Q76.Let y = y(x) be the solution of the differential equation x(1 −x2) dxdy + (3x2y −y −4x3) = 0, x > 1 with y(2) = −2. Then y(3) is equal to (1) −18 (2) −12 (3) −6 (4) −3
What This Question Tests
The question requires transforming the given differential equation into a linear first-order form, finding the integrating factor, solving it, and then using the initial condition to find a specific value.
Concepts Tested
Formulas Used
dy/dx + P(x)y = Q(x)
Integrating Factor = e^(∫P(x)dx)
y * IF = ∫(Q(x) * IF) dx
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📋 Question Details
- Chapter
- Differential Equations
- Topic
- Linear Differential Equations
- Year
- 2022
- Shift
- 28 Jun Shift 1
- Q Number
- Q76
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 9: Differential Equations
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