If y=sin(sin x)then y₂+(tan x)y₁+y(cos²x)=

The derivative of Sin^-1(3x-4x³) w.r.to Tan^-1x/√ (1-x²) is

d/dx{sin²((1-x²)/(1+x²))}

If y=e^-kx/2(a cos nx+b sin nx) then y₂+ky₁+(n²+k²/4)y=

d/dx{(2x-3)/(3x+1)}=

If y²=(x-a)(x-b) then d³/dx³[(d²y/dx²)^-2/3]=

If y=(5x+7/2x-3) then y₂=

d/dx{Tanxⁿ+Tanⁿx+Tan^-1(a+xⁿ/1-axⁿ)}=

d/dx{xⁿ+1/xⁿ}=

If y=e^-x cos x then y₄=