The solution of the differential equation cos x cos y dx + sin x sin y dy = 0

The solution of the differential equation cos x cos y dx +
sin x sin y dy = 0 is

Question Posted / rajasekar

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The solution of the differential equation cos x cos y dx + sin x sin y dy = 0 is..

Answer / rajasekar

(1) tan x = c
(2) sec x ? sec y = c
(3) sin x = c cos y
(4) cos x = c sin y

Is This Answer Correct ?

27 Yes

8 No

The solution of the differential equation cos x cos y dx + sin x sin y dy = 0 is..

Answer / yasheen shahi

divide by SINx*COSy throughout.
this gives
(cosx/sinx)dx+(siny/cosy)dy=0
This is nothing but the derivative of
log(sinx)-log(cosy)

Is This Answer Correct ?

19 Yes

7 No

The solution of the differential equation cos x cos y dx + sin x sin y dy = 0 is..

Answer / sangeetha

cosx/sinx)dx+(siny/cosy)dy=0
This is nothing but the derivative of
log(sinx)-log(cosy)+logc
log(sinx/cosy)=logc
sinx/cosy=c
sinx=c cosy

Is This Answer Correct ?

13 Yes

2 No

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