`(dy)/(dx)=x*sin x`

x(dy)/(dx)+y=sin x

tan y (dy)/(dx) = sin x + cos x

If y=(sin x-x cos x)(cos x+x sin x), show that (dy)/(dx)=x sin2x-x^(2)cos2x

Solve the following differential equations : (dy)/(dx)+y= sin x + cos x .

Solution of the differential equation 2y sin x (dy)/(dx)=2 sin x cos x -y^(2) cos x satisfying y((pi)/(2))=1 is given by :

Solution of the differential equation 2y sin x(dy)/(dx)=2sin x cos x-y^(2)cos x satisfying y((pi)/(2))=1 is given by

The solution of (dy)/(dx)=e^(x)(sin x + cos x) is