Solving the Diff. Eq: dy/dx= -x/y

Thread starter minia2353
Start date May 7, 2010

May 7, 2010

minia2353

can someone please help me solve this problem?

let C be a flow line for F(x,y) = -yi+xj, and let (x,y) be a point on C for which y is not 0.
Show that the flow lines satisfy the differential equation
dy/dx= -x/y.

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May 7, 2010

radou

Homework Helper

Start with the fact that dx / F1 = dy / F2, where F = F1 i + F2 j.

May 7, 2010

minia2353

I really don't understand...
can you explain the step more thoroughly??

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