Question

The differential equation
dy
+ y cot x = sin 2x
dx
has integrating factor
Select one:
A. secx
B. sinx
C. COS X
D. e cotx​

Answer 1

Step-by-step explanation:

It is given that sinx is the interchanging factor of the differential equation

dx

dy

+Py=Q

∴ e

∫Pdx

=sinx

⇒ ∫Pdx=log∣sinx∣

⇒ ∫Pdx=∫cotxdx [∵∫cotxdx=log∣sinx∣+C]

⇒ P=cotx