1. Tardigrade
  2. Question
  3. Mathematics
  4. If the I.F. of the differential equation (dy/dx) +5y = cos x is ∫ eAdx , then A =

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

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

VITEEEVITEEE 2018

Solution:

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 $A = 5.$