Solving differential equation by separation of variables
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Solve the differential equation by method of separation of variables
csc y dx + sec^2 x dy = 0
I have to use separation of variables to solve this problem.
The answer given is:
4 cos y = 2x + sin 2x + C
I've worked on this problem for quite a while and cannot come up with the given answer.
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A detailed easy to follow solution is provided. The expert solves differential equations by separation of variables.
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We can write it as
csc y dx =- sec^2 x dy
OR
dx/sec^2 x = - dy/cscy
=> cos^2 x .dx = -siny.dy
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