Solution of differential equation dy/dx = e^x+y - xe^y is Option 1: e^x + e^y - x^2/2 = C, where C is an arbitrary constant Option 2: e^x + e^-y - x^2/2 = C, where C is an arbitrary constant Option 3: e^x + e^y + x^2/2 = C, where C is an arbitrary constant Option 4: e^x - e^-y - x^2/2 = C, where C is an arbitrary constant

The answer is 'e^x + e^-y - x^2/2 = C, where C is an arbitrary constant'. View full solution:

CUET Mathematics - Solution of differential equation dy/dx = e^x+y - xe^y is | PYQs + Solutions

CUET Mathematics 2026 18th May Shift 1

Calculus

Medium

common

$e^x + e^y - \frac{x^2}{2} = C$ , where C is an arbitrary constant

$e^x + e^{-y} - \frac{x^2}{2} = C$ , where C is an arbitrary constant

$e^x + e^y + \frac{x^2}{2} = C$ , where C is an arbitrary constant

$e^x - e^{-y} - \frac{x^2}{2} = C$ , where C is an arbitrary constant

✅ Correct Option: 2

	LIST-I Differential Equation		LIST-II Family of curves
A.	$x\,dy - y\,dx = 0$	I.	$x^2 + y^2 = a^2$
B.	$2y\,dx - x\,dy = 0$	II.	$y = ax$
C.	$x\,dx + y\,dy = 0$	III.	$y^2 = 16x + a$
D.	$y\,dy - 8\,dx = 0$	IV.	$x^2 = ay$