Q85.The equation of the curve passing through the origin and satisfying the differential equation (1 + x2) dxdy + 2xy = 4x2 is (1) (1 + x2)y = x3 (2) 3 (1 + x2)y = 2x3 (3) (1 + x2)y = 3x3 (4) 3 (1 + x2)y = 4x3
What This Question Tests
This question tests the ability to solve a first-order linear differential equation by finding the integrating factor and then applying the general solution formula, and finally using initial conditions to find the particular solution.
Concepts Tested
Formulas Used
dy/dx + P(x)y = Q(x)
Integrating Factor (IF) = e^(∫P(x)dx)
y * IF = ∫(Q(x) * IF)dx + C
📚 NCERT Sections This Tests
3.9 — A Reaction Is First Order In A And Second Order In B.
Chemistry Class 11 · Chapter 3
3.9 A reaction is first order in A and second order in B. (i) Write the differential rate equation. (ii) How is the rate affected on increasing the concentration of B three times? (iii) How is the rate affected when the concentrations of both A and B are doubled? 85 Chemical Kinetics Reprint 2025-26
12.5 — A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
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12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
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1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
📋 Question Details
- Chapter
- Differential Equations
- Topic
- Linear differential equations
- Year
- 2013
- Shift
- 25 Apr Online
- Q Number
- Q85
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 9: Differential Equations
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