`dy/dx=sinx^x`

ysinx dy/dx=(sinx-y^2)cosx

"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].

Degree and order xy(d^(2)y)/(dx^(2))+((dy)/(dx))^(3)-y(dy)/(dx)=sinx

Find the integrating factor of the differential equation : cos x .(dy)/(dx)+y=sinx, 0 le x lt pi/2

If y=x"tan"(x)/(2)," then "(1+cosx)(dy)/(dx)-sinx=

(dy)/(dx)=2(sinx-cosx)^(-2)

Solve: (secx)(dy)/(dx)=y+sinx

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

Solutio of the differential eqaution (dy)/(dx)+(y)/(x)=sinx is