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**1. Homework Statement**

dy/dx =[cos^2(x)][cos^2(y)]

**2. Homework Equations**

The solution to this problem is y = +/- [(2n + 1)*pi]/4

How? Do i just plug C back into the equation? That seems a little messy

**3. The Attempt at a Solution**

dy/cos^2(y) = cos^2(x) dx

After integrating: (1/2)tan(2y) = (1/2)(x + cos(x) + sin(x) + C)

C = 2tan(2y) - 2x -sin(2x) for cos(2y) not = 0