Find the orthogonal trajectories of the family of curves 𝑥^2/𝑎^2 + 𝑦^2/(𝑏^2+ 𝜆) = 1, where 𝜆 𝑖𝑠 𝑎 𝑝𝑎𝑟𝑎𝑚𝑒𝑡𝑒𝑟

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Find the orthogonal trajectories of the family of curves 𝑥²/𝑎² + 𝑦²/(𝑏²+ 𝜆) = 1, where 𝜆 𝑖𝑠 𝑎 𝑝𝑎𝑟𝑎𝑚𝑒𝑡𝑒𝑟