General solution of the differential equation dy/dx + sqrt(1 - y^2)sqrt(1 - x^2) = 0 is A. ^-1 x + ^-1 y = C B. ^-1 x - ^-1 y = C C. xsqrt(1 - y^2) - ysqrt(1 - x^2) = C D. ^-1 x + ^-1 y = C E. ^-1 x + ^-1 y = C (where C is arbitrary constant) Choose the correct answer from the options given below

Question

Option 1: B and C only

Option 2: B, D and E only

Option 3: A and D only

Option 4: A and B only

AfterBoards · Accepted Answer

The answer is 'B, D and E only'. View full solution:

List-I	List-II
Differential Equation	Integrating Factor
(A) $y dx + (x - y^3)dy = 0$	(I) $e^{-x}$
(B) $x\frac{dy}{dx} + y = x^2$	(II) $\frac{1}{x}$
(C) $\frac{dy}{dx} - y = e^x$	(III) $y$
(D) $x dy - y dx = x^3 dx$	(IV) $x$

CUET Mathematics 2022 10 Aug Shift 1 PYQs

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