Q84.Solution of the differential equation cos xdy = y(sin x −y)dx, 0 < x < π2 is (1) y sec x = tan x + c (2) y tan x = sec x + c (3) tan x = (sec x + c)y (4) sec x = (tan x + c)y
What This Question Tests
This question tests the ability to recognize and solve a non-linear differential equation by transforming it into a linear differential equation using a suitable substitution (like y = 1/v or similar) and then using the integrating factor method.
Concepts Tested
Formulas Used
dy/dx + P(x)y = Q(x)
Integrating Factor = e^(∫P(x)dx)
Solution: y * IF = ∫Q(x) * IF dx
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📋 Question Details
- Chapter
- Differential Equations
- Topic
- Linear differential equations
- Year
- 2010
- Shift
- Unknown
- Q Number
- Q84
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 9: Differential Equations
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