`x``frac{dy}{dx}`=`y`-`xcos^2` `frac{y}{x}`

dy/dx = frac{2x+y}{x}

dy/dx = cos frac{x}{2} / 2

frac{dP}{dx} = frac{d}{dx} (x^3) (frac{7-2x}{3})^(4)

x^2 frac{dy}{dx} + (1-2x) y = x^2

frac {d^ny}{dx^n} (x^2e^(2x))

dy/dx = frac{x^2+y^2}{2x^2}

dy/dx = frac{cos^2y}{x(x^4+1)}

dy/dx = frac{x^2-(1-2x)y}{x^2}

solve the equations: frac{2}{sqrt x} + frac{3}{sqrt y} =2 and frac{4}{sqrt x} - frac{9}{sqrt y} =-1

If z(x+y)= x^2 +y^2 show that (frac{delz}{delx}-frac{del z}{del y})^2 = 4 (1- frac{delz}{delx}+frac{delz}{dely})