Cream together butter and sugar until fluffy.
Beat in the eggs.
Sift together the flour, baking soda, cinnamon, nutmeg. Mix into the batter until just incorporated
Fold in the apples.
Transfer the batter to a greased and lined cake pan.
Bake at 350 °F (177 °C, gas mark 4) for 45 minutes.
Serve warm with whipped cream.