Q85.The solution of the differential equation, dy dx = (x −y)2 , when y(1) = 1, is: (1) loge 2−x2−y = x −y (2) −loge 1+x−y1−x+y = 2(x −1) (3) −loge 1−x+y1+x−y = x + y −2 (4) loge 2−x2−y = 2(y −1)
What This Question Tests
This question requires solving a first-order differential equation by using a suitable substitution to convert it into a variable separable form and then applying the initial condition.
Concepts Tested
Formulas Used
∫dx/(a^2-x^2) = (1/2a) log|(a+x)/(a-x)|
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📋 Question Details
- Chapter
- Differential Equations
- Topic
- Solving first order differential equations
- Year
- 2019
- Shift
- 11 Jan Shift 2
- Q Number
- Q85
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 9: Differential Equations
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