No, there is no free equipment when you multiclass unless explicitly stated.

In the PHB it states:

"When you gain a new level in a class, you get its features for that level. You don't, however, receive the class's starting equipment, and a few features have additional rules when you're multiclassing: Channel Divinity, Extra Attack, Unarmored Defense, and Spellcasting."

Think of it this way; if you started as a Warlock then multiclassed into a Paladin, would they suddenly find platemail under their pillow?

On page 148 of the PHB, under Adventuring gear is a list of items, including Arcane Focus, which run between 5-20 gp. And there is nothing in the description of Warlock that would suggest that the focus needs to be tied to your specific patron.

No, there is no free equipment when you multiclass unless explicitly stated.

In the PHB it states:

"When you gain a new level in a class, you get its features for that level. You don't, however, receive the class's starting equipment, and a few features have additional rules when you're multiclassing: Channel Divinity, Extra Attack, Unarmored Defense, and Spellcasting."

Think of it this way; if you started as a Warlock then multiclassed into a Paladin, would they suddenly find chain mail under their pillow?

On page 148 of the PHB, under Adventuring gear is a list of items, including Arcane Focus, which run between 5-20 gp. And there is nothing in the description of Warlock that would suggest that the focus needs to be tied to your specific patron.

No, there is no free equipment when you multiclass unless explicitly stated.

Generally, when a character adds a second (or third) class, they are entitled to proficiencies, but not actual equipment. Think of it the other way; if you started as a Warlock then multiclassed into a Paladin, would they suddenly find platemail under their pillow?

On page 148 of the PHB, under Adventuring gear is a list of items, including Arcane Focus, which run between 5-20 gp.

No, there is no free equipment when you multiclass unless explicitly stated.

In the PHB it states:

"When you gain a new level in a class, you get its features for that level. You don't, however, receive the class's starting equipment, and a few features have additional rules when you're multiclassing: Channel Divinity, Extra Attack, Unarmored Defense, and Spellcasting."

Think of it this way; if you started as a Warlock then multiclassed into a Paladin, would they suddenly find platemail under their pillow?

On page 148 of the PHB, under Adventuring gear is a list of items, including Arcane Focus, which run between 5-20 gp. And there is nothing in the description of Warlock that would suggest that the focus needs to be tied to your specific patron.