Q84.The solution of the differential equation dxdy = −( x2+3y23x2+y2 ), (1) loge|x + y| − xy = 0 (2) loge|x + y| + xy = 0 (x+y)2 (x+y)2 (3) loge|x + y| + (x+y)2 2xy = 0 (4) loge|x + y| − (x+y)22xy = 0 + × × × − = 8ˆi −40ˆj −24ˆk then
What This Question Tests
This question tests the ability to solve a homogeneous differential equation, possibly by recognizing it as an exact differential equation or by using appropriate substitutions and integration techniques.
Concepts Tested
Formulas Used
dy/dx = f(y/x)
d(xy) = ydx + xdy
d(y/x) = (xdy - ydx)/x^2
d(x/y) = (ydx - xdy)/y^2
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📋 Question Details
- Chapter
- Differential Equations
- Topic
- Homogeneous Differential Equations
- Year
- 2023
- Shift
- 30 Jan Shift 2
- Q Number
- Q84
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 9: Differential Equations
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