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in Mathematics by (40.5k points)
Solution of the differential equation cos xdy = y(sin x - y)dx, 0 < x < pi/2 is

(a) sec x = (tan x + C)y

(b) y sec x = tan x + C

(c) y tan x = sec x + C

(d) tan x =(sec x + C)y

1 Answer

+1 vote
by (44.9k points)
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Best answer

Correct option (a) sec x = (tan x + C)y

Explanation:

Since, cos x dy = y sin x dx - y2 dx

This is a linear differential equation. Therefore 

IF = etan x dx = elog sec x = sec x

Hence, the solution is 

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