CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The general solution of dydx+ytanx=secx is
(a) y secx=tanx+C
(b) y tanx=secx+C
(c) tanx=y tanx+C
(d) x secx=tany+C

Open in App
Solution

Given differential equation is
dydx+y tanx=secx
which is a linear differential equation
Here, P= tanx, Q secx
IF=etanxdx=elog|secx|=secx
The general solution is
y.secx=secx.secx+Cy.secx=sec2xdx+Cy.secx=tanx+C


flag
Suggest Corrections
thumbs-up
5
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
General and Particular Solutions of a DE
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon