Separating variables: 1−y2dy=−1−x2dx. Integrating: sin−1y=−sin−1x+C, i.e., sin−1x+sin−1y=C (D). Using cos−1y=π/2−sin−1y, we also get sin−1x−cos−1y=C (B) and cos−1x+cos−1y=C (E). Hence B, D, and E only.
General solution of the differential equation dy dx + √1 - y^2 √1 - x^2 = 0 is A. tan^-1 x + tan^-1 y = C B. sin^-1 x - cos^-1 y = C C. x√1 - y^2 -…
CUET UG 2022 — Mathematics Calculus
2022mcqmedium
General solution of the differential equation dxdy+1−x21−y2=0 is
A. tan−1x+tan−1y=C
B. sin−1x−cos−1y=C
C. x1−y2−y1−x2=C
D. sin−1x+sin−1y=C
E. cos−1x+cos−1y=C
(where C is arbitrary constant)
Choose the correct answer from the options given below
Official previous-year question
Held on 10 Aug 2022 · Verified 13 Jul 2026.
Options
- A
B and C only
- B
B, D and E only
- C
A and D only
- D
A and B only
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