if f(x) is a differential equation satisfying the equation (x÷y) ×f(x÷y) = x×f(x) - y×f(y) for all x, y belongs to real number. f(e) = (1÷e). find f(x)

the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to  move once over to level a playground. find the area of the playground in square m?

Find dy/DX when y=x^sinx+sin-1√x.

 

Please give me the solution of this problem. 

Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.