Solution of differential equation dy-sin x sin y dx=0 is

Question

Solution of differential equation dy-sin x sin y dx=0 is (A) ecos x tan (y/2)=c (B) ecos x tan y=c (C) cos x tan y=c (D) cos x sin y=c

Tardigrade Admin · Accepted Answer

dy-sin x sin y dx=0 or dy=sin x sin y dx or ∫ cosec y dy = ∫ sin xdx or log tan (y/2)=-cos x+log c or log (tan (y/2)/c)=-cos x or (tan (y/2)/c)=e-cos x or ecos x tan (y/2)=c

Q. Solution of differential equation $d y - s in x s in y d x = 0$ is

$e^{cos x} t an \frac{y}{2} = c$

$e^{cos x} t an y = c$

$cos x t an y = c$

$cos x s in y = c$

$d y - s in x s in y d x = 0$
or $d y = s in x s in y d x$
or $\int cosec y d y = \int s in x d x$
or $l o g t an \frac{y}{2} = - cos x + l o g c$
or $l o g \frac{t an \frac{y}{2}}{c} = - cos x$
or $\frac{t an \frac{y}{2}}{c} = e^{- cos x}$
or $e^{cos x} t an \frac{y}{2} = c$

Q. Solution of differential equation dy−sinxsinydx=0 is

ecosxtan2y​=c

ecosxtany=c

cosxtany=c

cosxsiny=c