If U(x) = x + sqrt(1 + x^2), then solution of the differential equation dy/dx + sqrt(1 + y^2/1 + x^2) = 0, is : Option 1: U(x) U(y) = U(c) Option 2: U(x)/U(y) = U(c) Option 3: U(x) - U(y) = U(c) Option 4: U(x) + U(y) = U(c) (where c is arbitrary constant)

The answer is 'U(x) U(y) = U(c)'. View full solution:

CUET Mathematics - If U(x) = x + sqrt(1 + x^2), then solution of the differential equation dy/dx + sqrt(1 + y^2/1 + x^2) = 0, is : | PYQs + Solutions

CUET Mathematics 2022 7 Aug Shift 2

Calculus

Medium

$U(x) U(y) = U(c)$

$\frac{U(x)}{U(y)} = U(c)$

$U(x) - U(y) = U(c)$

$U(x) + U(y) = U(c)$

(where c is arbitrary constant)

✅ Correct Option: 1

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