Question

solve the differential equation ; dy/dx=sinx .siny

Answer 1

Answer:

cosx

tan

2

y

=c

dy−sinxsinydx=0

⟹ dy=sinxsinydx

⟹cosec y dy=sinxdx

integating both side

⟹logtan

2

y

+logk=−cosx

⟹

c

tan

2

y

=e

−cosx

⟹e

cosx

tan

2

y

=c

make me as brain list