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The orthogonal trajectories of the family of curves 22 = 2y - 1+ Ce-24, where is an arbitrary constant, is given by the famil

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O 90 =oy-1 + ceny x²+1ca ay é 24 differentiating wort. De. 2x 0 + I dy ax c d e ay da 22 = a dy + c e dy (-2) dy dr dre. dy 1dx = dy hp x? may (22-09) (x-2y) da (8-19)* (2-)- x- dy dy dal dy tay dn ne dy + 2 y Yo dai as teda I.F I dan enne 2 e 11 e g

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