Question

The general solution of differential equation $\frac{dy}{dx}+ysecx=tanx(0<x<\frac{\pi }{2})$ is

• A. y(sec x + tan x) = sec x + tan x - x + c
• B. y(sec x - tan x) = sec x + tan x + x + c
• C. y(sec x - tan x) = sec x - tan x - x + c
• D. y(sec x + tan x) = sec x - tan x - x + c

Answer 1

The correct option is A

y(sec x + tan x) = sec x + tan x - x + c

I.F = (secx + tanx)

G.S is y(secx + tanx) = secx + tanx – x + C