calculus
posted by Tony .
Please help with this question. I have a general solution to a differential equation of 18y^3/2= TOP LINE OF FRACTION is 2(x^26x+23)^3/2 and this is divided by 3.plus Constant .I work out constant c to be zero. Is this correct? What is the particular solution for which y=2 when x=1. Then I need this particular solution in explicit form. Many thanks for help (with details). Best wishes.

Find C from equality
18*(2^3/2)=(2(1^26*1+23)^3/2)/3 +C
and substitute in the general solution.
C is not 0.
Can you write this differential equation?