Question

second one:Calculus: Integrals, antiderivatives, and Solving Differential Equations Symbolically:Separation of variables
y'=cos^(2)(y)/sin^(2)(x)

Answer 1

http://www.wolframalpha.com/input/?i=y%27%3Dcos%5E%282%29%28y%29%2Fsin%5E%282%29%28x%29

Answer 2

\[\int \frac{dy}{cos^2{y}}=\int \frac{dx}{sin^2{x}}\]

Now that it's separated you can integrate.

Answer 3

dy/dx =cos^2(y)/sin^2(x)
dy/cos^2(y) = dx/sin^2(x)
sec^2(y)dy = csc^2(x) dx
Each side is a standard integral, integrate each side to get the answer.
Do not forget the integration constant.

Answer 4

thank you! this is really helpful :) okay i think i can do the rest of my homework. thanks to you all again!

Answer 5

no p! yw

Answer 6

no worries, good luck :)