if y=[1/(b^2-a^2)^1/2]log[{(b-a)^1/2}+{(b-a)^1/2}tanx/2]/[{(b+a)^1/2}-{(b-a)^1/2}tanx/2] then prove that dy/dx-sec^2(x/2)/(b+1)-(b-a)tan^2(x/2).

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.