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orthogonal trajectories

Hello , how we can find the orthogonal trajectories by mathematica ? I want to find it to x^2 +y^2=c y ,thanks in advance

POSTED BY: Tasneem Smadi
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Thank you so much Sean Clarke .but I want ask you another question if I solve this eq . I can solve it like homogenous eq. or exact eq. I get two equalivant solution how I can prove there equavilant by mathematica ???

POSTED BY: Tasneem Smadi
POSTED BY: Sean Clarke
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