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In a jug, beat the eggs and mustard until combined.
Gradually whisk in the melted butter.
As mentioned, if it splits, don't panic, whisk it hard and it should come back.
Add lemon juice to taste.
When happy, put it back on the hob and gently bring the temperature up, stirring constantly. You just want to warm and thicken it - cooking the egg yolks.
Once you're happy, take it off the heat and serve. If it's too thick for you, just add a little water to loosen it.