Q85.The curve satisfying the differential equation, ydx −(x + 3y2)dy = 0 and passing through the point (1, 1) also passes through the point (1) ( 41 , −12 ) (2) (−13 , 13 ) (3) ( 41 , 12 ) (4) ( 13 , −13 )
What This Question Tests
This question tests the ability to recognize and solve a first-order linear differential equation, specifically of the form dx/dy + Px = Q. It also requires using an initial condition to find the particular solution and then checking which point lies on this curve.
Concepts Tested
Formulas Used
dy/dx + Py = Q (or dx/dy + Px = Q)
Integrating Factor (IF) = e^(∫Pdy)
Solution: x * IF = ∫(Q * IF)dy + C
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📋 Question Details
- Chapter
- Differential Equations
- Topic
- Linear Differential Equations
- Year
- 2017
- Shift
- 08 Apr Online
- Q Number
- Q85
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 9: Differential Equations
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