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**1. Homework Statement**

I was wondering,how do you calculate the particular integral for a differential equation that satisfies a given equation?

**2. Homework Equations**

For example an equation like this: (dy/dx)*squareroot of x - squareroot of y= x*square root of y where the values of x and y are: (x,y)=(9.4)

**3. The Attempt at a Solution**

I tried to solve this equation using the separated variables theorem but I dn't know what to do next!