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xy+6e^(y)=6e quad" at "x=0=>0+6e^(y)=6eDifferentiate w.r.t. ' x 'e^(y)=ey=1(x(dy)/(dx)+y(1))+6e^(y)(dy)/(dx)=0{:[(dy)/(dx)(x+6e^(y))=-y-1],[atx=0","quad y=1],[(dy)/(dx)(0+6e^('))=-1=>(dy)/(dx)=-(1)/(6e)],[y^(')=-(1)/(6e)]:}Agrin, differentiate wrt. ' x ' eqn ( ... See the full answer