Question

The solution of the differential equation ` sec x dy - "cosec " y dx = 0 ` is
A. `cos x + sin y= C`
B. ` sin x + cos y = C`
C. `sin y - cos x = C`
D. ` cos y - sin x = C`

Answer 1

Correct Answer - b
The given differential equation is
` sec x dy - "cosec " y dx = 0`
` rArr sin y dy = cos x dx `
On integrating , we get
` - cos y + C = sin x rArr sin x + cos y = C`