2^xlog2+2^ylog2 dy/dx=2^x+ylog2(1+dy/dx)

2^x+2^y dy/dx=2^x+y(1+dy/dx)

solve and subsitute for 2^x+y=2^x+2^y

or there are many ans in case of diffrentiation.......go from ans to guesONLY IN CASE OF NEED