find the orthogonal trajectories of
y^a = k*x^b..depending on parameter k (a and b are fixed for all curves)..please help!

Question

find the orthogonal trajectories of
 y^a = k*x^b..depending on parameter k (a and b are fixed for all curves)..please help!

anonymous · Answer

whats exactly meant by orthogonal trajectories??

anonymous · Answer

an orthogonal trajectory of a family of curves is a curve that intersects each curve at right angles

anonymous · Answer

Implicit differentiate to get$$dy/dx=(bkx ^{b-1})/(ay ^{a-1})$$Integrate both sides to find orthogonal trajectories. Your problem with letters make it treacherous. http://www.nvcc.edu/home/dgoral/291web/ortho.htm