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Mathematics 7 Online
OpenStudy (anonymous):

General Solution

OpenStudy (anonymous):

\[\csc y dx + \sec x dy = 0\]

OpenStudy (jhannybean):

Ok I just solved this though :\

OpenStudy (jhannybean):

If the format is, as @UsukiDoll says, then h(y)dy = f(x)dx

OpenStudy (usukidoll):

hi I'm back!

OpenStudy (usukidoll):

let's try get it in dy/dx = blank form

OpenStudy (usukidoll):

\[secx dy = cscy dx\]

OpenStudy (usukidoll):

then all of my y's should be on the left and all of my x's on the right

OpenStudy (jhannybean):

Soo.... \[\csc(y)dx = -\sec(x)dy\]\[\frac{\csc(y)}{dy} = -\frac{\sec(x)}{dx}\]\[\int \sin(y)dy = -\int \cos(x)dx\]\[-\cos(y) = \sin(x)+C\]But what happens now? O_o

OpenStudy (usukidoll):

\[\frac{dy}{cscy}=\frac{dx}{secx}\]

OpenStudy (usukidoll):

huh rule of thumb.. never have dy and dx's on the bottom. always on the top!

OpenStudy (jhannybean):

Ooo, ok.

OpenStudy (jhannybean):

I am learning!!!

OpenStudy (usukidoll):

that's ok ^_^

OpenStudy (jhannybean):

starting over from step 2

OpenStudy (usukidoll):

so we just need to know what |dw:1424163983058:dw|

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