A curve question

[mathsmad]

The solution curve for a differential equation of the form dy/dx = x - a/x² for x>0 passes through the points (1,0) and (2,0). Find the value of y when x = 3.

any help on this question would be great. I think i need to integrate to find y but am not great at that thanks again

 

[stapel]

The solution curve for a differential equation of the form dy/dx = x - a/x² for x>0 passes through the points (1,0) and (2,0). Find the value of y when x = 3.

This is just a calculus question: "y' = x - ax^(-2); find y if the curve passes through the points (1, 0) and (2, 0), and evaluate when x = 3".

So integrate the polynomial function, use a points the two points to solve for the values of "a" and the integration constant "c", and then evaluate at x = 3.