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

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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
 
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You need an initial condition.
 
sorry i don't get it...im trying to make the general solution...from the question i(0) = 12
 
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.
 
ok thanks for the help
 
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