The equation of curve whose slope is given by dy/dx = x and which passes through (1, 5/2) is : Option 1: y = x^2 + 5/2 Option 2: y = x^2/2 + 2 Option 3: y = x^2/3 + 2/3 Option 4: y = 3x^2 + 5

The answer is 'y = x^2/2 + 2'. View full solution:

CUET Mathematics - The equation of curve whose slope is given by dy/dx = x and which passes through (1, 5/2) is : | PYQs + Solutions

CUET Mathematics 2023 22 May Shift 3

Calculus

Easy

$y = x^2 + \frac{5}{2}$

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

$y = \frac{x^2}{3} + \frac{2}{3}$

$y = 3x^2 + 5$

✅ Correct Option: 2

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D. For differential equation, $x^2 \frac{dy}{dx} + x = xy, x > 0, \lim_{x \to 0^+} y(x)$ is equal to	IV. $x$

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