use the fact that
integral dy/dx dx = integral dy = y
find the antiderivative and plug in e and 9 to solve for the constant... i think...
how do you separate these variables dy/dx=4sqrt(y)lnx/x, y(e)=9
2 answers
dy/y^.5 = 4 ln x /x
2 y^.5 = 2 (ln x)^2
y^.5 = (ln x)^2 + C
y = (ln x)^4 + c
(e, 9) is on it
9 = 1^4 + c
c = 8
y = (ln x)^4 + 8
2 y^.5 = 2 (ln x)^2
y^.5 = (ln x)^2 + C
y = (ln x)^4 + c
(e, 9) is on it
9 = 1^4 + c
c = 8
y = (ln x)^4 + 8