Question: Please solve what it asked on the picture. This is Differential Equations Problem hope you'll solve this, your work and solutions will be appreciated much.

Please solve what it asked on the picture. This is Differential Equations Problem hope you'll solve this, your work and solutions will be appreciated much. Thank you so much!

1. Find the equation of the family of orthogonal trajectories of the system of parabolas y? = 2x + C. (5 PTS. ) 2. Find the orthogonal trajectories of the family of straight lines y = ex, where C is parameter. (5 PTS. ) 3. A family of hyperbolic curves is given by the equation y=c/x. Find the orthogonal trajectories for these curves. (5 PTS. )

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