Find the orthogonal trajectories of the family of curves. Use C for the constant. (I will...

Question

Question

Find the orthogonal trajectories of the family of curves. Use C for the constant. (I will hand grade this one.) ka2 + y2 = 1

Answer 1

Answer #1

given kx² + y = 1 - 0 differentiating ego with nexpect to x akat 24 dy -D dal ak2 = -24 de da =) kx= - y dy da The slope of t 1

ka= y dx dy= I da ку both sides Integrating on k S dy = ( x klogy = log x + loge log yts = log ex ok cx y = (x) Yk y = ca ķ 2

If you satisfy with my answer please give?

Answer 2

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