Question

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

• A. 0
• B. 1
• C. 3
• D. 5

Answer 1

Answer: (D)

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 $A=5.$