The Student Room Group

separating variables

i integrated but dont know how to finish the question and dont really know what limits to put to the integral
i uploaded my work and the question
Reply 1
my working and question for reference
Reply 2
Looks about right assuming your edited question is correct. Strictly speaking you should have abs round the sin(y) in ln() and the -1*ln() is equivalent to dividing by that term and the 1/4 multiplier can be a power in the log so its "easy" to get rid of the logs when you have
ln(f(x)) = ln(g(y))
the constant can be written as +ln(c) so c multiplies one of the log arguments (before taking inverse logs). Then use the given x,y values to determine c.
(edited 11 months ago)

Quick Reply

Latest