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

The answer is 'x+1/y+1 = C'. View full solution:

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

CUET Mathematics 2022 30 Aug Shift 1

Calculus

Easy

$\frac{1+y+y^2}{1+x^2} = C$

$\log(x+1) - \log\left(y + \frac{1}{2}\right) = C$

$\frac{x+1}{y+1} = C$

$\log(1+y) - \frac{\sqrt{3}}{2}\log(x+1) = C$

✅ Correct Option: 3

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