General solution of the Differential equation dy/dx + ay = e^mx is Option 1: (a+m)y = e^mx + Ce^-ax: where C is an arbitrary constant Option 2: y = e^mx + Ce^-ax: where C is an arbitrary constant Option 3: (a+m)y = e^mx + C: where C is an arbitrary constant Option 4: y.e^ax = me^mx + C: where C is an arbitrary constant

The answer is '(a+m)y = e^mx + Ce^-ax: where C is an arbitrary constant'. View full solution:

CUET Mathematics - General solution of the Differential equation dy/dx + ay = e^mx is | PYQs + Solutions

CUET Mathematics 2026 21st May Shift 1

Calculus

Medium

core

$(a+m)y = e^{mx} + Ce^{-ax}$ : where $C$ is an arbitrary constant

$y = e^{mx} + Ce^{-ax}$ : where $C$ is an arbitrary constant

$(a+m)y = e^{mx} + C$ : where $C$ is an arbitrary constant

$y.e^{ax} = me^{mx} + C$ : where $C$ is an arbitrary constant

✅ Correct Option: 1

	LIST-I Differential equation		LIST-II Integrating factor
A.	$\dfrac{dy}{dx} + 3y = e^{-2x}$	I.	$\dfrac{1}{x}$
B.	$x\dfrac{dy}{dx} + y = 3x^2$	II.	$e^{-x}$
C.	$x\dfrac{dy}{dx} - y = 3x^2$	III.	$x$
D.	$\dfrac{dy}{dx} - y = x$	IV.	$e^{3x}$