The solution of differential equation sqrt(x+1) - sqrt(x-1)dy/dx = 0 is Option 1: y = sqrt(x^2 - 1) + |x + sqrt(x^2 - 1)| + C Option 2: y = sqrt(x^2 - 1) - |x + sqrt(x^2 - 1)| + C Option 3: y = sqrt(x^2 - 1) + |x + sqrt(1 - x^2)| + C Option 4: y = sqrt(1 - x^2) + |x + sqrt(1 - x^2)| + C

The answer is 'y = sqrt(x^2 - 1) + |x + sqrt(x^2 - 1)| + C'. View full solution:

CUET Mathematics - The solution of differential equation sqrt(x+1) - sqrt(x-1)dy/dx = 0 is | PYQs + Solutions

CUET Mathematics 2022 10 Aug Shift 1

Calculus

Medium

$y = \sqrt{x^2 - 1} + \log|x + \sqrt{x^2 - 1}| + C$

$y = \sqrt{x^2 - 1} - \log|x + \sqrt{x^2 - 1}| + C$

$y = \sqrt{x^2 - 1} + \log|x + \sqrt{1 - x^2}| + C$

$y = \sqrt{1 - x^2} + \log|x + \sqrt{1 - x^2}| + C$

✅ Correct Option: 1

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