Question: SOLVE NO. 2 ONLY! SUB: DIFFERENTIAL EQUATION Imrmcn'om: Solve the following problem neatly and completely. Draw a few representative curvefs of each family when it

SOLVE NO. 2 ONLY! SUB: DIFFERENTIAL EQUATION

Imrmcn'om: Solve the following problem neatly and completely. Draw a few representative curvefs of each family when it is necessary. Simplify and box your nal answers. Answers! Solutions must be handwritten in a bond paper. 1. Find the orthogonal trajectories of the given family of curves: a. Circles through the origin with centers on x-axis b. Straight lines With slope and y-intercept equal 2. Find the isogonal trajectories to a family of straight lines y = at that cut the lines ofthe given family at an angle a, the tangent of which equals 3:. 3. For a certain curve, the point of contact of each tangent to it bisects the part of the tangent terminating on the coordinate axes. Find the equation of the curve

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