Jeg vil svare på din besked i morgen.

Vil is the present tense of ville. In this sentence, it usually expresses intention or future meaning:

Jeg vil svare på din besked i morgen
= I will reply to your message tomorrow

A useful thing to know is that Danish often uses the present tense for future meaning too, so Jeg svarer på din besked i morgen is also possible. Using vil can make the intention sound a bit more explicit.

This is a very common question because English will can match more than one Danish word.

• vil often means want to, intend to, or simply will
• skal often means must, am supposed to, or a more fixed future plan

So:

• Jeg vil svare på din besked i morgen = I will / I intend to reply tomorrow
• Jeg skal svare på din besked i morgen = I have to reply tomorrow / I am supposed to reply tomorrow

In real life, the line is not always perfectly sharp, but vil usually sounds more like my intention/willingness, while skal sounds more like obligation, arrangement, or necessity.

Because Danish normally says svare på noget when you mean answer something or reply to something.

So:

• svare på en besked = reply to a message
• svare på et spørgsmål = answer a question

This is just how the verb works idiomatically in Danish. English learners often want to leave out the preposition because English says answer a message, but Danish usually needs på here.

Because besked is a common-gender noun in Danish: en besked.

Danish possessives agree with the noun:

• din for en-words
• dit for et-words
• dine for plural

Since it is en besked, you say:

• din besked = your message

Compare:

• din bil = your car
• dit hus = your house
• dine sko = your shoes

Besked often means message, but its range is a little broader than that in Danish. Depending on context, it can mean things like:

• message
• notice
• information
• instruction

In this sentence, din besked most naturally means your message, such as a text, chat message, email, or similar communication.

Because the standard modern Danish spelling is i morgen.

It literally contains i + morgen, but together they function as the adverb tomorrow.

So the correct standard form is:

• i morgen

You may sometimes see imorgen in informal writing, but i morgen is the accepted standard spelling.

Yes. Danish allows time expressions like i morgen to move, but the word order must still follow Danish main-clause rules.

You can say:

• Jeg vil svare på din besked i morgen
• I morgen vil jeg svare på din besked

Both are correct.

When i morgen comes first, the verb vil must come right after it. This is because Danish main clauses usually follow the verb-second rule.

Because Danish is a V2 language, which means the finite verb normally comes in the second position in a main clause.

So:

• Jeg | vil | svare på din besked i morgen

If you move i morgen to the front, then that takes the first position, and vil must stay second:

• I morgen | vil | jeg | svare på din besked

This is one of the biggest word-order differences between English and Danish.

Yes, absolutely.

Danish very often uses the present tense to talk about the future when the time is clear from context:

• Jeg svarer på din besked i morgen

Since i morgen already shows that the action is in the future, the sentence is perfectly natural.

A rough difference is:

• Jeg vil svare... = I will / I intend to reply
• Jeg svarer... = I am replying / I’ll reply tomorrow

In many situations, both work well.

You normally put ikke after the finite verb in a main clause:

• Jeg vil ikke svare på din besked i morgen
  = I will not reply to your message tomorrow

If you front i morgen, the verb still stays second, and ikke still comes after the verb:

• I morgen vil jeg ikke svare på din besked

So the basic pattern is often:

• subject + finite verb + ikke
  • rest

In a yes-no question, the finite verb usually comes first:

• Vil jeg svare på din besked i morgen?

Grammatically that is correct, but in real life it is not the most natural question unless you are asking something like Will I be replying tomorrow?

More natural examples might be:

• Vil du svare på min besked i morgen? = Will you reply to my message tomorrow?
• Hvornår vil du svare på min besked? = When will you reply to my message?

So the main grammar point is: in a yes-no question, vil comes before the subject.