Hi, I have just started my differential equations class. To solve the initial-value problem, 8cos^2ydx + csc^2xdy = 0 (initial condition: y(pai/12) = (pai/4) )using separable equations method, I have to change the equation to(adsbygoogle = window.adsbygoogle || []).push({});

8/csc^2dx + 1/cos^2ydy (Am I right so far?)

My problem is I don't know (or remember) how to integrate neither 8/csc^2dx nor 1/cos^2y. Am I suppose to do know how to calculate if I have finished Calculus II? I reviewed Trig. and Calculus textbooks to figure out how to calculate them but so far could not find even a similar problem.

I also have no idea how to integrate the followings:

a. x/secx dx

b. 1/cot^2x dx

c. 1/cos3y dx

d. 1/sec^3 10x dx

Any kind of help would be highly appreciated!

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# Separable equations (but more like integration questions)

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