Y=(ex+e-x)/2(ex-e-x)/2
=cosh xsinh x
=coth x
therefore
dy/dx= -cosech2x
= -(coth2x-1)
=1-coth2x
=1-y2 -proved
Y=ex+e-xex-e-x
p.t. dy/dx=1-y2
Y=(ex+e-x)/2(ex-e-x)/2
=cosh xsinh x
=coth x
therefore
dy/dx= -cosech2x
= -(coth2x-1)
=1-coth2x
=1-y2 -proved