Ch 9 (8 9 09)
182 MATHEMATICS y.x = xx dx2, i.e. yx = 4 4 x +c Hence y = 3 4 xc x +. Example 5 Find the differential equation of the family of lines through the origin. Solution Let y = mx be the family of lines through origin. Therefore, dy dx = m Eliminating m, we get y = dy dx. x or x dy dx – y = 0. Example 6 Find the differential equation of all non-horizontal …
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