SOLUTION: I need some help please :) solve: du/dx = x/y and/or solve: du/dx = y/x

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Question 404148: I need some help please :)
solve: du/dx = x/y
and/or solve: du/dx = y/x



Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
du%2Fdx+=+x%2Fy

du+=+%28x%2Fy%29dx Integrate both sides:

int%281%2C+du%29+=+int%28x%2Fy%2C+dx%29

u+=+%28x%5E2%2F2y%29+%2B+C

The other problem is slightly different. The second problem du%2Fdx+=+y%2Fx is the same, except there is an ln function involved:

du+=+%28y%2Fx%29dx

u+=+int%28y%2Fx%2C+dx%29+=+y+ln+%28abs%28x%29%29+%2B+C