Hello.

Problem: Find the solution of the differential equation that satisfies the given intial condition.

The intial condition:.

My solution:

Well, I noticed its a separable equation,

The problem here, is the question did not identify the K!

so I assumed its a constant.

then I rewrite the D.E. as:

By integrating both sides and using integration by parts, I obtained:

where .

Solving for L,I got:

.

since :

.

so:

, i.e. .

Then ????

I stopped here!