`" "dy/dx+y/x=-sinx`

(dy)/(dx) =-(y+sinx)/(x) satisfying condition y(0)=1

Find (dy)/(dx) of y=(sinx)^x+sin^(-1)sqrt(x) .

(dy/dx)+(2/x)y=sinx , x gt 0

find dy/dx -: y=sqrt(sinx)/sinsqrt(x)

(dy)/(dx ) + 2y =sinx

Solve: (dy)/(dx)+y=cosx-sinx

"If "y=(sinx)^(cosx)+(cosx)^(sinx)", prove that "(dy)/(dx)=(sinx)^(cosx).[cot x cos x-sin x(log sinx)]+(cosx)^(sinx).[cosx(log cos x)-sinx tanx].

Find y(pi) if y(0)=7 and (dy)/dx=2(y-2sinx-10)x+2cosx