1)

 If the I.F. of the differential equation $\frac{dy}{dx}+5y = \cos x is \int_{}^{} e^{Adx}$ then A =


A) 0

B) 1

C) 3

D) 5

Answer:

Option D

Explanation:

The I.F. of the differential equation

$\frac{dy}{dx}+Py = Q$ is $e^{\int_{}^{} pdx}$ Here P = 5 therefore I.F = $e^{\int_{}^{} 5dx}$

Hence A = 5