Do I Need to Divide the Constant and Term in Separation of Variables?

[Cooler]

Im doing separation of variables now and I am stuck...ive come up to this stage

-5 ln 2-3i = t^2/2 + C

my problem is do i need to divide the C and t^2/2 by -5? or don't divide the C?

please help me..
thnks

 

[hunt_mat]

You need an initial condition.

 

[Cooler]

sorry i don't get it...im trying to make the general solution...from the question i(0) = 12

 

[hunt_mat]

So setting t=0 shows that -5ln|2-3*i(0)|=C=> -5ln|2-36|=C=>-5ln(34)=C, so substitute this into your equation.

 

[Cooler]

ok thanks for the help