Solution of differential equation dy/dx = (1+y²) (1+x²)^-1is

The line 4x + 6y + 9=0, touches the parabola y²=4x at the point

The solution of 3e^xcos²ydx+(1-e^x)cot y dy=0 is

x²+y²=t+(1/t),x⁴+y⁴=t²+(1/t²)⇒x³y(dy/dx)=

The radius of the circle r²-2√2r(cos θ + sin θ)-5=0 is

The solution of (1+e^x/y)dx+e^x/y(1-x/y)dy=0 is

The solution ofn(e^x+1)y dy+(y+1)dx=0 is

The curve represented by X= 2( cos t + sin t ), y=( cos t - sin t ) is

The solution of e^x-y dx+e^y-x dy=0 is