Preheat oven to 425°F (220° C)
Using an electric mixer, combine the cream cheese and sugar.
Beat until smooth.
Add eggs, one at a time, mixing in between.
Mix in vanilla extract and thoroughly combine.
Divide the batter equally between two mixing bowls.
In one bowl of the cream cheese mixture, pour in the melted white chocolate. Mix well.
In the remaining bowl of cream cheese mixture, add the melted semi-sweet chocolate. Mix well until thoroughly combined.
Pour the semi-sweet chocolate batter over the crust in the springform pan and smooth the top.
Gently spoon the white chocolate batter over the top. Smooth the top with a spoon.
Bake in the center of the oven for 10 minutes.
Reduce the temperature to 250°F (120°C)
Bake for approximately 35 minutes ( until center is just firm)
Remove from the oven.
Using an offset spatula )or knife) run the spatula around the edge of the cake.
Let cool completely.
Once cool, carefully remove the sides of the springform pan.