The Question:
Solve the differential equation:
, given that when
Express your answer in the form
My Attempt:
Integrate both sides:
.
Therefore:
.
So:
.
Let .
, so
Substituting:
Simplifying:
.
.
Substitute ,
, so
Therefore:
.
However, the answer given is:
Please provide a hint as to where I may have gone wrong.